188828640 has 576 divisors, whose sum is σ = 871782912. Its totient is φ = 35942400.

The previous prime is 188828623. The next prime is 188828641. The reversal of 188828640 is 46828881.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188828641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1441375 + ... + 1441505.

It is an arithmetic number, because the mean of its divisors is an integer number (1513512).

Almost surely, 2^188828640 is an apocalyptic number.

188828640 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 188828640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435891456).

188828640 is an abundant number, since it is smaller than the sum of its proper divisors (682954272).

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

188828640 is a wasteful number, since it uses less digits than its factorization.

188828640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The square root of 188828640 is about 13741.4933686263. The cubic root of 188828640 is about 573.7058632942.

It can be divided in two parts, 188 and 828640, that added together give a palindrome (828828).

The spelling of 188828640 in words is "one hundred eighty-eight million, eight hundred twenty-eight thousand, six hundred forty".