23281632 has 72 divisors (see below), whose sum is σ = 72235800. Its totient is φ = 7054080.

The previous prime is 23281613. The next prime is 23281663. The reversal of 23281632 is 23618232.

23281632 is a `hidden beast` number, since 2 + 3 + 28 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 23281596 and 23281605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 507 + ... + 6842.

It is an arithmetic number, because the mean of its divisors is an integer number (1003275).

Almost surely, 2^23281632 is an apocalyptic number.

23281632 is a gapful number since it is divisible by the number (22) 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 23281632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36117900).

23281632 is an abundant number, since it is smaller than the sum of its proper divisors (48954168).

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

23281632 is a wasteful number, since it uses less digits than its factorization.

23281632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7376 (or 7365 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 23281632 is about 4825.1043512032. The cubic root of 23281632 is about 285.5427515129.

Adding to 23281632 its reverse (23618232), we get a palindrome (46899864).

The spelling of 23281632 in words is "twenty-three million, two hundred eighty-one thousand, six hundred thirty-two".