28614432 has 192 divisors, whose sum is σ = 96768000. Its totient is φ = 7338240.

The previous prime is 28614389. The next prime is 28614463. The reversal of 28614432 is 23441682.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28614432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362169 + ... + 362247.

It is an arithmetic number, because the mean of its divisors is an integer number (504000).

Almost surely, 2^28614432 is an apocalyptic number.

28614432 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 28614432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384000).

28614432 is an abundant number, since it is smaller than the sum of its proper divisors (68153568).

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

28614432 is a wasteful number, since it uses less digits than its factorization.

28614432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 102 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 28614432 is about 5349.2459281660. The cubic root of 28614432 is about 305.8640089475.

The spelling of 28614432 in words is "twenty-eight million, six hundred fourteen thousand, four hundred thirty-two".