123776928 has 144 divisors (see below), whose sum is σ = 389188800. Its totient is φ = 37002240.

The previous prime is 123776921. The next prime is 123776929. The reversal of 123776928 is 829677321.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (123776921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281733 + ... + 282171.

It is an arithmetic number, because the mean of its divisors is an integer number (2702700).

Almost surely, 2^123776928 is an apocalyptic number.

123776928 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 123776928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194594400).

123776928 is an abundant number, since it is smaller than the sum of its proper divisors (265411872).

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

123776928 is a wasteful number, since it uses less digits than its factorization.

123776928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 544 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 123776928 is about 11125.5079884021. The cubic root of 123776928 is about 498.3638894574.

The spelling of 123776928 in words is "one hundred twenty-three million, seven hundred seventy-six thousand, nine hundred twenty-eight".