428996885817600 has 1701 divisors, whose sum is σ = 1637249797605177. Its totient is φ = 111237653237760.

The previous prime is 428996885817587. The next prime is 428996885817601. The reversal of 428996885817600 is 6718588699824.

The square root of 428996885817600 is 20712240.

It is a perfect power (a square), and thus also a powerful number.

428996885817600 is a `hidden beast` number, since 4 + 28 + 9 + 9 + 6 + 8 + 8 + 581 + 7 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 154438878894336 + 274558006923264 = 12427344^2 + 16569792^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 428996885817600.

It is not an unprimeable number, because it can be changed into a prime (428996885817601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 1923752851089 + ... + 1923752851311.

Almost surely, 2^{428996885817600} is an apocalyptic number.

428996885817600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

428996885817600 is the 20712240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428996885817600

428996885817600 is an abundant number, since it is smaller than the sum of its proper divisors (1208252911787577).

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

428996885817600 is an frugal number, since it uses more digits than its factorization.

428996885817600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 3344302080, while the sum is 81.

428996885817600 divided by its sum of digits (81) gives a square (5296257849600 = 2301360²).

The spelling of 428996885817600 in words is "four hundred twenty-eight trillion, nine hundred ninety-six billion, eight hundred eighty-five million, eight hundred seventeen thousand, six hundred".