28462752 has 120 divisors (see below), whose sum is σ = 85377600. Its totient is φ = 9300096.

The previous prime is 28462747. The next prime is 28462769. The reversal of 28462752 is 25726482.

28462752 is a `hidden beast` number, since 28 + 4 + 627 + 5 + 2 = 666.

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

Its product of digits (53760) is a multiple of the sum of its prime factors (240).

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 19 ways as a sum of consecutive naturals, for example, 204699 + ... + 204837.

It is an arithmetic number, because the mean of its divisors is an integer number (711480).

Almost surely, 2^28462752 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 28462752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42688800).

28462752 is an abundant number, since it is smaller than the sum of its proper divisors (56914848).

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

28462752 is a wasteful number, since it uses less digits than its factorization.

28462752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 223 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 28462752 is about 5335.0493905867. The cubic root of 28462752 is about 305.3226076759.

It can be divided in two parts, 284 and 62752, that added together give a palindrome (63036).

The spelling of 28462752 in words is "twenty-eight million, four hundred sixty-two thousand, seven hundred fifty-two".