28723968 has 216 divisors, whose sum is σ = 102674208. Its totient is φ = 7520256.

The previous prime is 28723943. The next prime is 28723969. The reversal of 28723968 is 86932782.

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

Its product of digits (290304) is a multiple of the sum of its prime divisors (162).

It is not an unprimeable number, because it can be changed into a prime (28723969) 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, 209596 + ... + 209732.

Almost surely, 2^28723968 is an apocalyptic number.

28723968 is a gapful number since it is divisible by the number (28) 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 28723968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51337104).

28723968 is an abundant number, since it is smaller than the sum of its proper divisors (73950240).

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

28723968 is a wasteful number, since it uses less digits than its factorization.

28723968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 162 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 28723968 is about 5359.4746011153. The cubic root of 28723968 is about 306.2537943164.

The spelling of 28723968 in words is "twenty-eight million, seven hundred twenty-three thousand, nine hundred sixty-eight".