28516900 has 36 divisors (see below), whose sum is σ = 63884800. Its totient is φ = 11037600.

The previous prime is 28516897. The next prime is 28516903. The reversal of 28516900 is 961582.

28516900 = 1056² + 1057² + ... + 1080².

It is an interprime number because it is at equal distance from previous prime (28516897) and next prime (28516903).

It is a super-2 number, since 2×28516900² = 1626427171220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (28516903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1500 + ... + 7699.

Almost surely, 2^28516900 is an apocalyptic number.

28516900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28516900 is an abundant number, since it is smaller than the sum of its proper divisors (35367900).

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

28516900 is a wasteful number, since it uses less digits than its factorization.

28516900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9244 (or 9237 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 28516900 is about 5340.1217214592. The cubic root of 28516900 is about 305.5161019154.

The spelling of 28516900 in words is "twenty-eight million, five hundred sixteen thousand, nine hundred".