28796374800 has 840 divisors, whose sum is σ = 113515910856. Its totient is φ = 6987202560.

The previous prime is 28796374793. The next prime is 28796374801. The reversal of 28796374800 is 847369782.

It can be written as a sum of positive squares in 12 ways, for example, as 1989516816 + 26806857984 = 44604^2 + 163728^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28796374801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 183416322 + ... + 183416478.

Almost surely, 2^28796374800 is an apocalyptic number.

28796374800 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 28796374800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56757955428).

28796374800 is an abundant number, since it is smaller than the sum of its proper divisors (84719536056).

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

28796374800 is a wasteful number, since it uses less digits than its factorization.

28796374800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 28796374800 in words is "twenty-eight billion, seven hundred ninety-six million, three hundred seventy-four thousand, eight hundred".