28500480 has 120 divisors (see below), whose sum is σ = 98784972. Its totient is φ = 7593984.

The previous prime is 28500469. The next prime is 28500499. The reversal of 28500480 is 8400582.

It can be written as a sum of positive squares in 2 ways, for example, as 28387584 + 112896 = 5328^2 + 336^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22422 + ... + 23658.

Almost surely, 2^28500480 is an apocalyptic number.

28500480 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 28500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49392486).

28500480 is an abundant number, since it is smaller than the sum of its proper divisors (70284492).

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

28500480 is a wasteful number, since it uses less digits than its factorization.

28500480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 28500480 is about 5338.5840819453. The cubic root of 28500480 is about 305.4574520441.

The spelling of 28500480 in words is "twenty-eight million, five hundred thousand, four hundred eighty".