28520625429504 has 726 divisors, whose sum is σ = 92637259969416. Its totient is φ = 8772432814080.

The previous prime is 28520625429497. The next prime is 28520625429511. The reversal of 28520625429504 is 40592452602582.

28520625429504 is a `hidden beast` number, since 2 + 8 + 5 + 2 + 0 + 6 + 2 + 542 + 95 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (28520625429497) and next prime (28520625429511).

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

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 10218782349 + ... + 10218785139.

Almost surely, 2^{28520625429504} is an apocalyptic number.

28520625429504 is a gapful number since it is divisible by the number (24) 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 28520625429504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46318629984708).

28520625429504 is an abundant number, since it is smaller than the sum of its proper divisors (64116634539912).

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

28520625429504 is an frugal number, since it uses more digits than its factorization.

28520625429504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867 (or 2809 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 28520625429504 in words is "twenty-eight trillion, five hundred twenty billion, six hundred twenty-five million, four hundred twenty-nine thousand, five hundred four".