28510120800 has 1296 divisors, whose sum is σ = 125938783152. Its totient is φ = 6270566400.

The previous prime is 28510120799. The next prime is 28510120817. The reversal of 28510120800 is 802101582.

28510120800 is a `hidden beast` number, since 28 + 510 + 120 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 390549564 + ... + 390549636.

It is an arithmetic number, because the mean of its divisors is an integer number (97174987).

Almost surely, 2^28510120800 is an apocalyptic number.

28510120800 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 28510120800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62969391576).

28510120800 is an abundant number, since it is smaller than the sum of its proper divisors (97428662352).

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

28510120800 is a wasteful number, since it uses less digits than its factorization.

28510120800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 28510120800 in words is "twenty-eight billion, five hundred ten million, one hundred twenty thousand, eight hundred".