28776072 has 64 divisors (see below), whose sum is σ = 78120000. Its totient is φ = 8780544.

The previous prime is 28776043. The next prime is 28776101. The reversal of 28776072 is 27067782.

It is an interprime number because it is at equal distance from previous prime (28776043) and next prime (28776101).

It is a hoax number, since the sum of its digits (39) 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 (39).

It is a self number, because there is not a number n which added to its sum of digits gives 28776072.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46179 + ... + 46797.

It is an arithmetic number, because the mean of its divisors is an integer number (1220625).

Almost surely, 2^28776072 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 28776072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39060000).

28776072 is an abundant number, since it is smaller than the sum of its proper divisors (49343928).

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

28776072 is a wasteful number, since it uses less digits than its factorization.

28776072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 28776072 is about 5364.3333229769. Note that the first 4 decimals coincide. The cubic root of 28776072 is about 306.4388593807.

The spelling of 28776072 in words is "twenty-eight million, seven hundred seventy-six thousand, seventy-two".