28442736 has 180 divisors, whose sum is σ = 96478200. Its totient is φ = 7789824.

The previous prime is 28442731. The next prime is 28442741. The reversal of 28442736 is 63724482.

It is an interprime number because it is at equal distance from previous prime (28442731) and next prime (28442741).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct 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 a self number, because there is not a number n which added to its sum of digits gives 28442736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28442731) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 204555 + ... + 204693.

It is an arithmetic number, because the mean of its divisors is an integer number (535990).

Almost surely, 2^28442736 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 28442736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48239100).

28442736 is an abundant number, since it is smaller than the sum of its proper divisors (68035464).

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

28442736 is a wasteful number, since it uses less digits than its factorization.

28442736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 180 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 28442736 is about 5333.1731642616. The cubic root of 28442736 is about 305.2510197230.

The spelling of 28442736 in words is "twenty-eight million, four hundred forty-two thousand, seven hundred thirty-six".