28824192 has 96 divisors (see below), whose sum is σ = 84015360. Its totient is φ = 9484800.

The previous prime is 28824181. The next prime is 28824217. The reversal of 28824192 is 29142882.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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

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, 150817 + ... + 151007.

It is an arithmetic number, because the mean of its divisors is an integer number (875160).

Almost surely, 2^28824192 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 28824192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42007680).

28824192 is an abundant number, since it is smaller than the sum of its proper divisors (55191168).

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

28824192 is a wasteful number, since it uses less digits than its factorization.

28824192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 327 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 28824192 is about 5368.8166293886. The cubic root of 28824192 is about 306.6095755936.

The spelling of 28824192 in words is "twenty-eight million, eight hundred twenty-four thousand, one hundred ninety-two".