123697728 has 168 divisors, whose sum is σ = 442203840. Its totient is φ = 32117760.

The previous prime is 123697727. The next prime is 123697751. The reversal of 123697728 is 827796321.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×123697728² = 30602255824723968, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (123697727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42958 + ... + 45746.

Almost surely, 2^123697728 is an apocalyptic number.

123697728 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 123697728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221101920).

123697728 is an abundant number, since it is smaller than the sum of its proper divisors (318506112).

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

123697728 is a wasteful number, since it uses less digits than its factorization.

123697728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2812 counting only the distinct ones).

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

The square root of 123697728 is about 11121.9480308083. The cubic root of 123697728 is about 498.2575722781.

The spelling of 123697728 in words is "one hundred twenty-three million, six hundred ninety-seven thousand, seven hundred twenty-eight".