114973728 has 48 divisors (see below), whose sum is σ = 302533056. Its totient is φ = 38232320.

The previous prime is 114973723. The next prime is 114973739. The reversal of 114973728 is 827379411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 114973728.

It is not an unprimeable number, because it can be changed into a prime (114973723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47098 + ... + 49478.

It is an arithmetic number, because the mean of its divisors is an integer number (6302772).

Almost surely, 2^114973728 is an apocalyptic number.

It is an amenable number.

114973728 is an abundant number, since it is smaller than the sum of its proper divisors (187559328).

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

114973728 is a wasteful number, since it uses less digits than its factorization.

114973728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2897 (or 2889 counting only the distinct ones).

The product of its digits is 84672, while the sum is 42.

The square root of 114973728 is about 10722.5802864796. The cubic root of 114973728 is about 486.2573786171.

It can be divided in two parts, 11497 and 3728, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 114973728 in words is "one hundred fourteen million, nine hundred seventy-three thousand, seven hundred twenty-eight".