114728400 has 150 divisors (see below), whose sum is σ = 411867302. Its totient is φ = 30585600.

The previous prime is 114728389. The next prime is 114728423. The reversal of 114728400 is 4827411.

It can be written as a sum of positive squares in 3 ways, for example, as 4981824 + 109746576 = 2232^2 + 10476^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30630 + ... + 34170.

Almost surely, 2^114728400 is an apocalyptic number.

114728400 is a gapful number since it is divisible by the number (10) 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 114728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205933651).

114728400 is an abundant number, since it is smaller than the sum of its proper divisors (297138902).

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

114728400 is a wasteful number, since it uses less digits than its factorization.

114728400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3571 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 114728400 is about 10711.1343937045. The cubic root of 114728400 is about 485.9112778143.

The spelling of 114728400 in words is "one hundred fourteen million, seven hundred twenty-eight thousand, four hundred".