428635942560 has 576 divisors, whose sum is σ = 1749619872000. Its totient is φ = 97068367872.

The previous prime is 428635942457. The next prime is 428635942601. The reversal of 428635942560 is 65249536824.

428635942560 is a `hidden beast` number, since 4 + 2 + 8 + 6 + 35 + 9 + 42 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 428635942497 and 428635942506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29658216 + ... + 29672664.

It is an arithmetic number, because the mean of its divisors is an integer number (3037534500).

Almost surely, 2^428635942560 is an apocalyptic number.

428635942560 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 428635942560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874809936000).

428635942560 is an abundant number, since it is smaller than the sum of its proper divisors (1320983929440).

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

428635942560 is a wasteful number, since it uses less digits than its factorization.

428635942560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14595 (or 14575 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 428635942560 in words is "four hundred twenty-eight billion, six hundred thirty-five million, nine hundred forty-two thousand, five hundred sixty".