28095669504 has 288 divisors, whose sum is σ = 99085271040. Its totient is φ = 7678015488.

The previous prime is 28095669491. The next prime is 28095669601. The reversal of 28095669504 is 40596659082.

It is a happy number.

28095669504 is a `hidden beast` number, since 2 + 80 + 9 + 56 + 6 + 9 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×28095669504³ (a number of 32 digits) contains 333 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1100209 + ... + 1125455.

It is an arithmetic number, because the mean of its divisors is an integer number (344046080).

Almost surely, 2^28095669504 is an apocalyptic number.

28095669504 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 28095669504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49542635520).

28095669504 is an abundant number, since it is smaller than the sum of its proper divisors (70989601536).

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

28095669504 is a wasteful number, since it uses less digits than its factorization.

28095669504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25302 (or 25282 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 28095669504 in words is "twenty-eight billion, ninety-five million, six hundred sixty-nine thousand, five hundred four".