89282400 has 72 divisors (see below), whose sum is σ = 290622024. Its totient is φ = 23808000.

The previous prime is 89282393. The next prime is 89282407. The reversal of 89282400 is 428298.

It is an interprime number because it is at equal distance from previous prime (89282393) and next prime (89282407).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89282407) 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, 16201 + ... + 21000.

It is an arithmetic number, because the mean of its divisors is an integer number (4036417).

Almost surely, 2^89282400 is an apocalyptic number.

89282400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89282400 is an abundant number, since it is smaller than the sum of its proper divisors (201339624).

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

89282400 is a wasteful number, since it uses less digits than its factorization.

89282400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37224 (or 37211 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 89282400 is about 9448.9364480877. The cubic root of 89282400 is about 446.9462371967.

The spelling of 89282400 in words is "eighty-nine million, two hundred eighty-two thousand, four hundred".