88282400 has 72 divisors (see below), whose sum is σ = 216954864. Its totient is φ = 35078400.

The previous prime is 88282391. The next prime is 88282423. The reversal of 88282400 is 428288.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 168539 + ... + 169061.

It is an arithmetic number, because the mean of its divisors is an integer number (3013262).

Almost surely, 2^88282400 is an apocalyptic number.

88282400 is a gapful number since it is divisible by the number (80) 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 88282400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108477432).

88282400 is an abundant number, since it is smaller than the sum of its proper divisors (128672464).

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

88282400 is a wasteful number, since it uses less digits than its factorization.

88282400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 88282400 is about 9395.8714337735. The cubic root of 88282400 is about 445.2713070135.

The spelling of 88282400 in words is "eighty-eight million, two hundred eighty-two thousand, four hundred".