120253728 has 96 divisors (see below), whose sum is σ = 363484800. Its totient is φ = 34099200.

The previous prime is 120253711. The next prime is 120253799. The reversal of 120253728 is 827352021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 120253695 and 120253704.

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 15 ways as a sum of consecutive naturals, for example, 99528 + ... + 100728.

It is an arithmetic number, because the mean of its divisors is an integer number (3786300).

Almost surely, 2^120253728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120253728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181742400).

120253728 is an abundant number, since it is smaller than the sum of its proper divisors (243231072).

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

120253728 is a wasteful number, since it uses less digits than its factorization.

120253728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 120253728 is about 10966.0260805818. The cubic root of 120253728 is about 493.5898073928.

It can be divided in two parts, 12025 and 3728, that added together give a triangular number (15753 = T₁₇₇).

The spelling of 120253728 in words is "one hundred twenty million, two hundred fifty-three thousand, seven hundred twenty-eight".