28772172 has 192 divisors, whose sum is σ = 92574720. Its totient is φ = 7698240.

The previous prime is 28772167. The next prime is 28772179. The reversal of 28772172 is 27127782.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28772179) 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 63 ways as a sum of consecutive naturals, for example, 1250953 + ... + 1250975.

It is an arithmetic number, because the mean of its divisors is an integer number (482160).

Almost surely, 2^28772172 is an apocalyptic number.

28772172 is a gapful number since it is divisible by the number (22) 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 28772172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46287360).

28772172 is an abundant number, since it is smaller than the sum of its proper divisors (63802548).

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

28772172 is a wasteful number, since it uses less digits than its factorization.

28772172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 52 counting only the distinct ones).

The product of its digits is 21952, while the sum is 36.

The square root of 28772172 is about 5363.9697985727. The cubic root of 28772172 is about 306.4250149437.

The spelling of 28772172 in words is "twenty-eight million, seven hundred seventy-two thousand, one hundred seventy-two".