123977728 has 120 divisors (see below), whose sum is σ = 301980672. Its totient is φ = 49741824.

The previous prime is 123977699. The next prime is 123977731. The reversal of 123977728 is 827779321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

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, 2637801 + ... + 2637847.

Almost surely, 2^123977728 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 123977728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150990336).

123977728 is an abundant number, since it is smaller than the sum of its proper divisors (178002944).

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

123977728 is an frugal number, since it uses more digits than its factorization.

123977728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 79 counting only the distinct ones).

The product of its digits is 296352, while the sum is 46.

The square root of 123977728 is about 11134.5286384292. The cubic root of 123977728 is about 498.6332379941.

The spelling of 123977728 in words is "one hundred twenty-three million, nine hundred seventy-seven thousand, seven hundred twenty-eight".