107407728 has 80 divisors (see below), whose sum is σ = 311264800. Its totient is φ = 35458560.

The previous prime is 107407711. The next prime is 107407739. The reversal of 107407728 is 827704701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 107407692 and 107407701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45948 + ... + 48228.

It is an arithmetic number, because the mean of its divisors is an integer number (3890810).

Almost surely, 2^107407728 is an apocalyptic number.

107407728 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 107407728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155632400).

107407728 is an abundant number, since it is smaller than the sum of its proper divisors (203857072).

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

107407728 is a wasteful number, since it uses less digits than its factorization.

107407728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2407 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The square root of 107407728 is about 10363.7699704306. The cubic root of 107407728 is about 475.3481886573.

The spelling of 107407728 in words is "one hundred seven million, four hundred seven thousand, seven hundred twenty-eight".