28224072 has 64 divisors (see below), whose sum is σ = 80337600. Its totient is φ = 9175680.

The previous prime is 28224071. The next prime is 28224083. The reversal of 28224072 is 27042282.

It is a super-2 number, since 2×28224072² = 1593196480522368, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (28224071) 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, 7263 + ... + 10449.

It is an arithmetic number, because the mean of its divisors is an integer number (1255275).

Almost surely, 2^28224072 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 28224072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40168800).

28224072 is an abundant number, since it is smaller than the sum of its proper divisors (52113528).

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

28224072 is a wasteful number, since it uses less digits than its factorization.

28224072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3243 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 28224072 is about 5312.6332453878. The cubic root of 28224072 is about 304.4667633407.

The spelling of 28224072 in words is "twenty-eight million, two hundred twenty-four thousand, seventy-two".