107128728 has 48 divisors (see below), whose sum is σ = 331590480. Its totient is φ = 30608064.

The previous prime is 107128717. The next prime is 107128729. The reversal of 107128728 is 827821701.

It is a happy number.

It is a super-2 number, since 2×107128728² = 22953128725795968, which contains 22 as substring.

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 = 107128692 and 107128701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107128729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105775 + ... + 106782.

It is an arithmetic number, because the mean of its divisors is an integer number (6908135).

Almost surely, 2^107128728 is an apocalyptic number.

107128728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

107128728 is an abundant number, since it is smaller than the sum of its proper divisors (224461752).

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

107128728 is a wasteful number, since it uses less digits than its factorization.

107128728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212576 (or 212569 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 107128728 is about 10350.3008651923. The cubic root of 107128728 is about 474.9362470300.

The spelling of 107128728 in words is "one hundred seven million, one hundred twenty-eight thousand, seven hundred twenty-eight".