28424736 has 96 divisors (see below), whose sum is σ = 83825280. Its totient is φ = 9370368.

The previous prime is 28424723. The next prime is 28424749. The reversal of 28424736 is 63742482.

It is an interprime number because it is at equal distance from previous prime (28424723) and next prime (28424749).

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

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 self number, because there is not a number n which added to its sum of digits gives 28424736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144190 + ... + 144386.

It is an arithmetic number, because the mean of its divisors is an integer number (873180).

Almost surely, 2^28424736 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 28424736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41912640).

28424736 is an abundant number, since it is smaller than the sum of its proper divisors (55400544).

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

28424736 is a wasteful number, since it uses less digits than its factorization.

28424736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 369 counting only the distinct ones).

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

The square root of 28424736 is about 5331.4853465052. The cubic root of 28424736 is about 305.1866133800.

The spelling of 28424736 in words is "twenty-eight million, four hundred twenty-four thousand, seven hundred thirty-six".