28693952469504 has 2240 divisors, whose sum is σ = 107774144299008. Its totient is φ = 7449432883200.

The previous prime is 28693952469499. The next prime is 28693952469529. The reversal of 28693952469504 is 40596425939682.

It is a happy number.

28693952469504 is a `hidden beast` number, since 2 + 8 + 6 + 9 + 3 + 9 + 52 + 4 + 69 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 135990295959 + ... + 135990296169.

Almost surely, 2^{28693952469504} is an apocalyptic number.

28693952469504 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 28693952469504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53887072149504).

28693952469504 is an abundant number, since it is smaller than the sum of its proper divisors (79080191829504).

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

28693952469504 is an equidigital number, since it uses as much as digits as its factorization.

28693952469504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 1007769600, while the sum is 72.

The spelling of 28693952469504 in words is "twenty-eight trillion, six hundred ninety-three billion, nine hundred fifty-two million, four hundred sixty-nine thousand, five hundred four".