109972728 has 160 divisors (see below), whose sum is σ = 333234000. Its totient is φ = 33758208.

The previous prime is 109972699. The next prime is 109972757. The reversal of 109972728 is 827279901.

It is an interprime number because it is at equal distance from previous prime (109972699) and next prime (109972757).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 737998 + ... + 738146.

Almost surely, 2^109972728 is an apocalyptic number.

109972728 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 109972728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166617000).

109972728 is an abundant number, since it is smaller than the sum of its proper divisors (223261272).

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

109972728 is a wasteful number, since it uses less digits than its factorization.

109972728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 109972728 is about 10486.7882595197. The cubic root of 109972728 is about 479.1023849781.

The spelling of 109972728 in words is "one hundred nine million, nine hundred seventy-two thousand, seven hundred twenty-eight".