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1428248880 = 2432517116687
BaseRepresentation
bin101010100100001…
…0101100100110000
310200112111120010200
41111020111210300
510411112431010
6353420155200
750251625622
oct12510254460
93615446120
101428248880
11673233583
1233a398b00
13199b8c6a6
14d7986c12
15855c4cc0
hex55215930

1428248880 has 120 divisors (see below), whose sum is σ = 5078728512. Its totient is φ = 358459392.

The previous prime is 1428248879. The next prime is 1428248881. The reversal of 1428248880 is 888428241.

1428248880 is a `hidden beast` number, since 14 + 2 + 82 + 488 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1428248879) and next prime (1428248881).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1428248881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46104 + ... + 70583.

Almost surely, 21428248880 is an apocalyptic number.

1428248880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1428248880 is an abundant number, since it is smaller than the sum of its proper divisors (3650479632).

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

1428248880 is a wasteful number, since it uses less digits than its factorization.

1428248880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116723 (or 116714 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The square root of 1428248880 is about 37792.1801435165. The cubic root of 1428248880 is about 1126.1631111463.

The spelling of 1428248880 in words is "one billion, four hundred twenty-eight million, two hundred forty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 12240 116687 233374 350061 466748 583435 700122 933496 1050183 1166870 1400244 1750305 1866992 1983679 2100366 2333740 2800488 3500610 3967358 4200732 4667480 5250915 5600976 5951037 7001220 7934716 8401464 9334960 9918395 10501830 11902074 14002440 15869432 16802928 17853111 19836790 21003660 23804148 28004880 29755185 31738864 35706222 39673580 42007320 47608296 59510370 71412444 79347160 84014640 89265555 95216592 119020740 142824888 158694320 178531110 238041480 285649776 357062220 476082960 714124440 1428248880