28182672 has 120 divisors (see below), whose sum is σ = 91613184. Its totient is φ = 7921152.

The previous prime is 28182653. The next prime is 28182677. The reversal of 28182672 is 27628182.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (28182677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73393 + ... + 73775.

Almost surely, 2^28182672 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 28182672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45806592).

28182672 is an abundant number, since it is smaller than the sum of its proper divisors (63430512).

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

28182672 is a wasteful number, since it uses less digits than its factorization.

28182672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 468 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 28182672 is about 5308.7354426455. The cubic root of 28182672 is about 304.3178231956.

The spelling of 28182672 in words is "twenty-eight million, one hundred eighty-two thousand, six hundred seventy-two".