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1428648792 = 233613672659
BaseRepresentation
bin101010100100111…
…0111001101011000
310200120020212201020
41111021313031120
510411213230132
6353432522440
750255212554
oct12511671530
93616225636
101428648792
11673486a8a
1233a550420
13199c9c71c
14d7a4c864
158565352c
hex55277358

1428648792 has 64 divisors (see below), whose sum is σ = 3641433600. Its totient is φ = 466957440.

The previous prime is 1428648787. The next prime is 1428648821. The reversal of 1428648792 is 2978468241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535959 + ... + 538617.

It is an arithmetic number, because the mean of its divisors is an integer number (56897400).

Almost surely, 21428648792 is an apocalyptic number.

1428648792 is a gapful number since it is divisible by the number (12) 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 1428648792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820716800).

1428648792 is an abundant number, since it is smaller than the sum of its proper divisors (2212784808).

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

1428648792 is a wasteful number, since it uses less digits than its factorization.

1428648792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096 (or 3092 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The square root of 1428648792 is about 37797.4707090303. The cubic root of 1428648792 is about 1126.2682105027.

The spelling of 1428648792 in words is "one billion, four hundred twenty-eight million, six hundred forty-eight thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 367 488 732 734 1101 1464 1468 2202 2659 2936 4404 5318 7977 8808 10636 15954 21272 22387 31908 44774 63816 67161 89548 134322 162199 179096 268644 324398 486597 537288 648796 973194 975853 1297592 1946388 1951706 2927559 3892776 3903412 5855118 7806824 11710236 23420472 59527033 119054066 178581099 238108132 357162198 476216264 714324396 1428648792