28792224 has 72 divisors (see below), whose sum is σ = 82407780. Its totient is φ = 9535488.

The previous prime is 28792207. The next prime is 28792229. The reversal of 28792224 is 42229782.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 27751824 + 1040400 = 5268^2 + 1020^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (28792229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73822 + ... + 74210.

Almost surely, 2^28792224 is an apocalyptic number.

28792224 is a gapful number since it is divisible by the number (24) 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 28792224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41203890).

28792224 is an abundant number, since it is smaller than the sum of its proper divisors (53615556).

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

28792224 is a wasteful number, since it uses less digits than its factorization.

28792224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 651 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 28792224 is about 5365.8386110654. The cubic root of 28792224 is about 306.4961833346.

The spelling of 28792224 in words is "twenty-eight million, seven hundred ninety-two thousand, two hundred twenty-four".