28553472000 has 864 divisors, whose sum is σ = 113159297160. Its totient is φ = 7166361600.

The previous prime is 28553471987. The next prime is 28553472037. The reversal of 28553472000 is 27435582.

It can be written as a sum of positive squares in 4 ways, for example, as 12422439936 + 16131032064 = 111456^2 + 127008^2 .

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1679615992 + ... + 1679616008.

Almost surely, 2^28553472000 is an apocalyptic number.

28553472000 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 28553472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56579648580).

28553472000 is an abundant number, since it is smaller than the sum of its proper divisors (84605825160).

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

28553472000 is an frugal number, since it uses more digits than its factorization.

28553472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 28553472000 in words is "twenty-eight billion, five hundred fifty-three million, four hundred seventy-two thousand".