28039096800 has 864 divisors, whose sum is σ = 117672530976. Its totient is φ = 6193152000.

The previous prime is 28039096793. The next prime is 28039096831. The reversal of 28039096800 is 869093082.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 116344680 + ... + 116344920.

It is an arithmetic number, because the mean of its divisors is an integer number (136195059).

Almost surely, 2^28039096800 is an apocalyptic number.

28039096800 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 28039096800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58836265488).

28039096800 is an abundant number, since it is smaller than the sum of its proper divisors (89633434176).

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

28039096800 is a wasteful number, since it uses less digits than its factorization.

28039096800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 28039096800 in words is "twenty-eight billion, thirty-nine million, ninety-six thousand, eight hundred".