28590125670400 has 672 divisors, whose sum is σ = 85906953603072. Its totient is φ = 9229212057600.

The previous prime is 28590125670349. The next prime is 28590125670487. The reversal of 28590125670400 is 407652109582.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1644330507 + ... + 1644347893.

It is an arithmetic number, because the mean of its divisors is an integer number (127837728576).

Almost surely, 2^{28590125670400} is an apocalyptic number.

28590125670400 is a gapful number since it is divisible by the number (20) 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 28590125670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42953476801536).

28590125670400 is an abundant number, since it is smaller than the sum of its proper divisors (57316827932672).

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

28590125670400 is a wasteful number, since it uses less digits than its factorization.

28590125670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17498 (or 17469 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 49.

Adding to 28590125670400 its reverse (407652109582), we get a palindrome (28997777779982).

The spelling of 28590125670400 in words is "twenty-eight trillion, five hundred ninety billion, one hundred twenty-five million, six hundred seventy thousand, four hundred".