623128800 has 288 divisors, whose sum is σ = 2399846400. Its totient is φ = 137410560.

The previous prime is 623128789. The next prime is 623128801. The reversal of 623128800 is 8821326.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (623128801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 486561 + ... + 487839.

It is an arithmetic number, because the mean of its divisors is an integer number (8332800).

Almost surely, 2^623128800 is an apocalyptic number.

623128800 is a gapful number since it is divisible by the number (60) 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 623128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1199923200).

623128800 is an abundant number, since it is smaller than the sum of its proper divisors (1776717600).

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

623128800 is a wasteful number, since it uses less digits than its factorization.

623128800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 623128800 is about 24962.5479468743. The cubic root of 623128800 is about 854.1338651955.

The spelling of 623128800 in words is "six hundred twenty-three million, one hundred twenty-eight thousand, eight hundred".