28580428800 has 1320 divisors, whose sum is σ = 132680972160. Its totient is φ = 5905612800.

The previous prime is 28580428787. The next prime is 28580428847. The reversal of 28580428800 is 882408582.

28580428800 is a `hidden beast` number, since 28 + 580 + 42 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

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 119 ways as a sum of consecutive naturals, for example, 159667111 + ... + 159667289.

It is an arithmetic number, because the mean of its divisors is an integer number (100515888).

Almost surely, 2^28580428800 is an apocalyptic number.

28580428800 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 28580428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66340486080).

28580428800 is an abundant number, since it is smaller than the sum of its proper divisors (104100543360).

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

28580428800 is a wasteful number, since it uses less digits than its factorization.

28580428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The spelling of 28580428800 in words is "twenty-eight billion, five hundred eighty million, four hundred twenty-eight thousand, eight hundred".