428802507504000 has 4096 divisors, whose sum is σ = 1974065225932800. Its totient is φ = 89252167680000.

The previous prime is 428802507503999. The next prime is 428802507504047. The reversal of 428802507504000 is 405705208824.

428802507504000 is a `hidden beast` number, since 4 + 28 + 80 + 2 + 507 + 5 + 0 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 276112367224 + ... + 276112368776.

It is an arithmetic number, because the mean of its divisors is an integer number (481949518050).

Almost surely, 2^{428802507504000} is an apocalyptic number.

428802507504000 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 428802507504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987032612966400).

428802507504000 is an abundant number, since it is smaller than the sum of its proper divisors (1545262718428800).

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

428802507504000 is a wasteful number, since it uses less digits than its factorization.

428802507504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 428802507504000 in words is "four hundred twenty-eight trillion, eight hundred two billion, five hundred seven million, five hundred four thousand".