114628480 has 32 divisors (see below), whose sum is σ = 274035240. Its totient is φ = 45851136.

The previous prime is 114628471. The next prime is 114628487. The reversal of 114628480 is 84826411.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×114628480² = 26279376854220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114628487) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88914 + ... + 90193.

Almost surely, 2^114628480 is an apocalyptic number.

114628480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114628480 is an abundant number, since it is smaller than the sum of its proper divisors (159406760).

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

114628480 is an equidigital number, since it uses as much as digits as its factorization.

114628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179126 (or 179114 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 114628480 is about 10706.4690724814. The cubic root of 114628480 is about 485.7701725115.

The spelling of 114628480 in words is "one hundred fourteen million, six hundred twenty-eight thousand, four hundred eighty".