28408900 has 81 divisors (see below), whose sum is σ = 68422053. Its totient is φ = 10233600.

The previous prime is 28408883. The next prime is 28408907. The reversal of 28408900 is 980482.

The square root of 28408900 is 5330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 25745476 + 2663424 = 5074^2 + 1632^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28408907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 692880 + ... + 692920.

Almost surely, 2^28408900 is an apocalyptic number.

28408900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

28408900 is the 5330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28408900

28408900 is an abundant number, since it is smaller than the sum of its proper divisors (40013153).

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

28408900 is a wasteful number, since it uses less digits than its factorization.

28408900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The cubic root of 28408900 is about 305.1299276235.

The spelling of 28408900 in words is "twenty-eight million, four hundred eight thousand, nine hundred".