28802592 has 216 divisors, whose sum is σ = 103262796. Its totient is φ = 7547904.

The previous prime is 28802591. The next prime is 28802593. The reversal of 28802592 is 29520882.

It is an interprime number because it is at equal distance from previous prime (28802591) and next prime (28802593).

It can be written as a sum of positive squares in 2 ways, for example, as 26255376 + 2547216 = 5124^2 + 1596^2 .

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

28802592 is a modest number, since divided by 2592 gives 288 as remainder.

It is not an unprimeable number, because it can be changed into a prime (28802591) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183378 + ... + 183534.

Almost surely, 2^28802592 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 28802592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51631398).

28802592 is an abundant number, since it is smaller than the sum of its proper divisors (74460204).

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

28802592 is a wasteful number, since it uses less digits than its factorization.

28802592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 28802592 is about 5366.8046359077. The cubic root of 28802592 is about 306.5329683948.

The spelling of 28802592 in words is "twenty-eight million, eight hundred two thousand, five hundred ninety-two".