114777728 has 64 divisors (see below), whose sum is σ = 257040000. Its totient is φ = 50654208.

The previous prime is 114777709. The next prime is 114777743. The reversal of 114777728 is 827777411.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36773 + ... + 39771.

It is an arithmetic number, because the mean of its divisors is an integer number (4016250).

Almost surely, 2^114777728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114777728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128520000).

114777728 is an abundant number, since it is smaller than the sum of its proper divisors (142262272).

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

114777728 is a wasteful number, since it uses less digits than its factorization.

114777728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3049 (or 3037 counting only the distinct ones).

The product of its digits is 153664, while the sum is 44.

The square root of 114777728 is about 10713.4367968454. The cubic root of 114777728 is about 485.9809077610.

The spelling of 114777728 in words is "one hundred fourteen million, seven hundred seventy-seven thousand, seven hundred twenty-eight".