428522935680 has 1024 divisors, whose sum is σ = 1840465152000. Its totient is φ = 92047933440.

The previous prime is 428522935669. The next prime is 428522935703. The reversal of 428522935680 is 86539225824.

428522935680 is a `hidden beast` number, since 4 + 2 + 8 + 52 + 29 + 3 + 568 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 314858200 + ... + 314859560.

It is an arithmetic number, because the mean of its divisors is an integer number (1797329250).

Almost surely, 2^428522935680 is an apocalyptic number.

428522935680 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 428522935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920232576000).

428522935680 is an abundant number, since it is smaller than the sum of its proper divisors (1411942216320).

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

428522935680 is a wasteful number, since it uses less digits than its factorization.

428522935680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 428522935680 in words is "four hundred twenty-eight billion, five hundred twenty-two million, nine hundred thirty-five thousand, six hundred eighty".