428251603089024 has 768 divisors, whose sum is σ = 1495308119235840. Its totient is φ = 115920278323200.

The previous prime is 428251603089017. The next prime is 428251603089041. The reversal of 428251603089024 is 420980306152824.

428251603089024 is a `hidden beast` number, since 4 + 2 + 8 + 2 + 5 + 1 + 603 + 0 + 8 + 9 + 0 + 24 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 637027629 + ... + 637699539.

It is an arithmetic number, because the mean of its divisors is an integer number (1947015780255).

Almost surely, 2^{428251603089024} is an apocalyptic number.

428251603089024 is a gapful number since it is divisible by the number (44) 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 428251603089024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747654059617920).

428251603089024 is an abundant number, since it is smaller than the sum of its proper divisors (1067056516146816).

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

428251603089024 is a wasteful number, since it uses less digits than its factorization.

428251603089024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672081 (or 672066 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 428251603089024 in words is "four hundred twenty-eight trillion, two hundred fifty-one billion, six hundred three million, eighty-nine thousand, twenty-four".