28107504000 has 384 divisors, whose sum is σ = 103113578880. Its totient is φ = 7334092800.

The previous prime is 28107503999. The next prime is 28107504011. The reversal of 28107504000 is 40570182.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×28107504000² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6765924 + ... + 6770076.

It is an arithmetic number, because the mean of its divisors is an integer number (268524945).

Almost surely, 2^28107504000 is an apocalyptic number.

28107504000 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 28107504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51556789440).

28107504000 is an abundant number, since it is smaller than the sum of its proper divisors (75006074880).

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

28107504000 is a wasteful number, since it uses less digits than its factorization.

28107504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4235 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 28107504000 in words is "twenty-eight billion, one hundred seven million, five hundred four thousand".