114956928 has 256 divisors, whose sum is σ = 372096000. Its totient is φ = 34836480.

The previous prime is 114956923. The next prime is 114956951. The reversal of 114956928 is 829659411.

Its product of digits (155520) is a multiple of the sum of its prime factors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114956923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3106926 + ... + 3106962.

It is an arithmetic number, because the mean of its divisors is an integer number (1453500).

Almost surely, 2^114956928 is an apocalyptic number.

114956928 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 114956928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186048000).

114956928 is an abundant number, since it is smaller than the sum of its proper divisors (257139072).

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

114956928 is a wasteful number, since it uses less digits than its factorization.

114956928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 102 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 114956928 is about 10721.7968643320. The cubic root of 114956928 is about 486.2336934326.

The spelling of 114956928 in words is "one hundred fourteen million, nine hundred fifty-six thousand, nine hundred twenty-eight".