114704928 has 72 divisors (see below), whose sum is σ = 351295308. Its totient is φ = 35292672.

The previous prime is 114704927. The next prime is 114704959. The reversal of 114704928 is 829407411.

It can be written as a sum of positive squares in 2 ways, for example, as 113806224 + 898704 = 10668^2 + 948^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 114704892 and 114704901.

It is not an unprimeable number, because it can be changed into a prime (114704927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11575 + ... + 19062.

Almost surely, 2^114704928 is an apocalyptic number.

114704928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114704928 is an abundant number, since it is smaller than the sum of its proper divisors (236590380).

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

114704928 is a wasteful number, since it uses less digits than its factorization.

114704928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30666 (or 30655 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 114704928 is about 10710.0386553924. The cubic root of 114704928 is about 485.8781384248.

The spelling of 114704928 in words is "one hundred fourteen million, seven hundred four thousand, nine hundred twenty-eight".