107928288 has 120 divisors (see below), whose sum is σ = 341937288. Its totient is φ = 33198336.

The previous prime is 107928269. The next prime is 107928313. The reversal of 107928288 is 882829701.

It is a happy number.

It is a super-2 number, since 2×107928288² = 23297030701221888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32095 + ... + 35297.

Almost surely, 2^107928288 is an apocalyptic number.

107928288 is a gapful number since it is divisible by the number (18) 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 107928288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170968644).

107928288 is an abundant number, since it is smaller than the sum of its proper divisors (234009000).

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

107928288 is a wasteful number, since it uses less digits than its factorization.

107928288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3238 (or 3221 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 107928288 is about 10388.8540272737. The cubic root of 107928288 is about 476.1148888227.

The spelling of 107928288 in words is "one hundred seven million, nine hundred twenty-eight thousand, two hundred eighty-eight".