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428691397000 = 23531771355171
BaseRepresentation
bin1100011110011111111…
…11111001100110001000
31111222112020111100112011
412033033333321212020
524010424444201000
6524534344225304
742654241515526
oct6171777714610
91458466440464
10428691397000
11155897132649
126b0bba6b234
133156b875729
1416a6a8cb316
15b2406d32ba
hex63cfff9988

428691397000 has 128 divisors (see below), whose sum is σ = 1077108814080. Its totient is φ = 159116160000.

The previous prime is 428691396937. The next prime is 428691397009. The reversal of 428691397000 is 793196824.

It is not an unprimeable number, because it can be changed into a prime (428691397009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1029415 + ... + 1384585.

It is an arithmetic number, because the mean of its divisors is an integer number (8414912610).

Almost surely, 2428691397000 is an apocalyptic number.

428691397000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428691397000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538554407040).

428691397000 is an abundant number, since it is smaller than the sum of its proper divisors (648417417080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

428691397000 is a wasteful number, since it uses less digits than its factorization.

428691397000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355280 (or 355266 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

The spelling of 428691397000 in words is "four hundred twenty-eight billion, six hundred ninety-one million, three hundred ninety-seven thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 71 85 100 125 136 142 170 200 250 284 340 355 425 500 568 680 710 850 1000 1207 1420 1700 1775 2125 2414 2840 3400 3550 4250 4828 6035 7100 8500 8875 9656 12070 14200 17000 17750 24140 30175 35500 48280 60350 71000 120700 150875 241400 301750 355171 603500 710342 1207000 1420684 1775855 2841368 3551710 6037907 7103420 8879275 12075814 14206840 17758550 24151628 25217141 30189535 35517100 44396375 48303256 50434282 60379070 71034200 88792750 100868564 120758140 126085705 150947675 177585500 201737128 241516280 252171410 301895350 355171000 428691397 504342820 603790700 630428525 754738375 857382794 1008685640 1207581400 1260857050 1509476750 1714765588 2143456985 2521714100 3018953500 3152142625 3429531176 4286913970 5043428200 6037907000 6304285250 8573827940 10717284925 12608570500 17147655880 21434569850 25217141000 42869139700 53586424625 85738279400 107172849250 214345698500 428691397000