120835728 has 120 divisors (see below), whose sum is σ = 385709688. Its totient is φ = 34983936.

The previous prime is 120835727. The next prime is 120835739. The reversal of 120835728 is 827538021.

120835728 is a `hidden beast` number, since 1 + 2 + 0 + 83 + 572 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11664 + 120824064 = 108^2 + 10992^2 .

It is a super-2 number, since 2×120835728² = 29202546322579968, 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 = 120835692 and 120835701.

It is not an unprimeable number, because it can be changed into a prime (120835723) 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, 29926 + ... + 33722.

Almost surely, 2^120835728 is an apocalyptic number.

120835728 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 120835728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192854844).

120835728 is an abundant number, since it is smaller than the sum of its proper divisors (264873960).

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

120835728 is a wasteful number, since it uses less digits than its factorization.

120835728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3841 (or 3832 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 120835728 is about 10992.5305548813. The cubic root of 120835728 is about 494.3848127424.

The spelling of 120835728 in words is "one hundred twenty million, eight hundred thirty-five thousand, seven hundred twenty-eight".