123029928 has 96 divisors (see below), whose sum is σ = 394954560. Its totient is φ = 35147520.

The previous prime is 123029899. The next prime is 123029953. The reversal of 123029928 is 829920321.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 123029892 and 123029901.

It is an unprimeable number.

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, 9088 + ... + 18128.

It is an arithmetic number, because the mean of its divisors is an integer number (4114110).

Almost surely, 2^123029928 is an apocalyptic number.

123029928 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 123029928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197477280).

123029928 is an abundant number, since it is smaller than the sum of its proper divisors (271924632).

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

123029928 is an equidigital number, since it uses as much as digits as its factorization.

123029928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9069 (or 9053 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 123029928 is about 11091.8856827863. The cubic root of 123029928 is about 497.3593154557.

The spelling of 123029928 in words is "one hundred twenty-three million, twenty-nine thousand, nine hundred twenty-eight".