28292112 has 80 divisors (see below), whose sum is σ = 82336000. Its totient is φ = 9300096.

The previous prime is 28292111. The next prime is 28292113. The reversal of 28292112 is 21129282.

It is an interprime number because it is at equal distance from previous prime (28292111) and next prime (28292113).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (28292111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33714 + ... + 34542.

It is an arithmetic number, because the mean of its divisors is an integer number (1029200).

Almost surely, 2^28292112 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 28292112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41168000).

28292112 is an abundant number, since it is smaller than the sum of its proper divisors (54043888).

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

28292112 is a wasteful number, since it uses less digits than its factorization.

28292112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 913 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 28292112 is about 5319.0329948215. The cubic root of 28292112 is about 304.7112271700.

The spelling of 28292112 in words is "twenty-eight million, two hundred ninety-two thousand, one hundred twelve".