23728032 has 96 divisors (see below), whose sum is σ = 71668800. Its totient is φ = 7628544.

The previous prime is 23728013. The next prime is 23728049. The reversal of 23728032 is 23082732.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 23727987 and 23728005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24583 + ... + 25529.

It is an arithmetic number, because the mean of its divisors is an integer number (746550).

Almost surely, 2^23728032 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 23728032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35834400).

23728032 is an abundant number, since it is smaller than the sum of its proper divisors (47940768).

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

23728032 is a wasteful number, since it uses less digits than its factorization.

23728032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 23728032 is about 4871.1427817300. The cubic root of 23728032 is about 287.3562008036.

It can be divided in two parts, 2372 and 8032, that added together give a square (10404 = 102²).

The spelling of 23728032 in words is "twenty-three million, seven hundred twenty-eight thousand, thirty-two".