114266628 has 108 divisors (see below), whose sum is σ = 338690352. Its totient is φ = 32387040.

The previous prime is 114266623. The next prime is 114266629. The reversal of 114266628 is 826662411.

114266628 = 64³ + 65³ + ... + 147³.

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 = 114266592 and 114266601.

It is not an unprimeable number, because it can be changed into a prime (114266623) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 372051 + ... + 372357.

Almost surely, 2^114266628 is an apocalyptic number.

114266628 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 114266628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169345176).

114266628 is an abundant number, since it is smaller than the sum of its proper divisors (224423724).

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

114266628 is a wasteful number, since it uses less digits than its factorization.

114266628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 530 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 114266628 is about 10689.5569599493. The cubic root of 114266628 is about 485.2584841015.

The spelling of 114266628 in words is "one hundred fourteen million, two hundred sixty-six thousand, six hundred twenty-eight".