28796169600 has 768 divisors, whose sum is σ = 117929952000. Its totient is φ = 6801408000.

The previous prime is 28796169599. The next prime is 28796169629. The reversal of 28796169600 is 696169782.

28796169600 is a `hidden beast` number, since 28 + 7 + 9 + 6 + 1 + 6 + 9 + 600 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38966031 + ... + 38966769.

It is an arithmetic number, because the mean of its divisors is an integer number (153554625).

Almost surely, 2^28796169600 is an apocalyptic number.

28796169600 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 28796169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58964976000).

28796169600 is an abundant number, since it is smaller than the sum of its proper divisors (89133782400).

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

28796169600 is a wasteful number, since it uses less digits than its factorization.

28796169600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 28796169600 in words is "twenty-eight billion, seven hundred ninety-six million, one hundred sixty-nine thousand, six hundred".