120295728 has 120 divisors (see below), whose sum is σ = 388118016. Its totient is φ = 34070400.

The previous prime is 120295711. The next prime is 120295729. The reversal of 120295728 is 827592021.

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 = 120295692 and 120295701.

It is not an unprimeable number, because it can be changed into a prime (120295729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131593 + ... + 132503.

Almost surely, 2^120295728 is an apocalyptic number.

120295728 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 120295728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194059008).

120295728 is an abundant number, since it is smaller than the sum of its proper divisors (267822288).

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

120295728 is a wasteful number, since it uses less digits than its factorization.

120295728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 120295728 is about 10967.9409188781. The cubic root of 120295728 is about 493.6472646798.

The spelling of 120295728 in words is "one hundred twenty million, two hundred ninety-five thousand, seven hundred twenty-eight".