28645174800 has 480 divisors, whose sum is σ = 113956456320. Its totient is φ = 6773760000.

The previous prime is 28645174799. The next prime is 28645174837. The reversal of 28645174800 is 847154682.

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

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, 4867860 + ... + 4873740.

It is an arithmetic number, because the mean of its divisors is an integer number (237409284).

Almost surely, 2^28645174800 is an apocalyptic number.

28645174800 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 28645174800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56978228160).

28645174800 is an abundant number, since it is smaller than the sum of its proper divisors (85311281520).

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

28645174800 is a wasteful number, since it uses less digits than its factorization.

28645174800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5960 (or 5943 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 28645174800 in words is "twenty-eight billion, six hundred forty-five million, one hundred seventy-four thousand, eight hundred".