117028800 has 504 divisors, whose sum is σ = 504439936. Its totient is φ = 26127360.

The previous prime is 117028787. The next prime is 117028837. The reversal of 117028800 is 8820711.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2721579 + ... + 2721621.

Almost surely, 2^117028800 is an apocalyptic number.

117028800 is a gapful number since it is divisible by the number (10) 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 117028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252219968).

117028800 is an abundant number, since it is smaller than the sum of its proper divisors (387411136).

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

117028800 is an equidigital number, since it uses as much as digits as its factorization.

117028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 117028800 is about 10817.9850249480. The cubic root of 117028800 is about 489.1374524211.

It can be divided in two parts, 11702 and 8800, that added together give a palindrome (20502).

The spelling of 117028800 in words is "one hundred seventeen million, twenty-eight thousand, eight hundred".