28267920 has 160 divisors (see below), whose sum is σ = 101779200. Its totient is φ = 7197696.

The previous prime is 28267907. The next prime is 28267927. The reversal of 28267920 is 2976282.

It is a super-2 number, since 2×28267920² = 1598150602252800, which contains 22 as substring.

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 (28267927) 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 31 ways as a sum of consecutive naturals, for example, 49396 + ... + 49964.

It is an arithmetic number, because the mean of its divisors is an integer number (636120).

Almost surely, 2^28267920 is an apocalyptic number.

28267920 is a gapful number since it is divisible by the number (20) 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 28267920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50889600).

28267920 is an abundant number, since it is smaller than the sum of its proper divisors (73511280).

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

28267920 is a wasteful number, since it uses less digits than its factorization.

28267920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 28267920 is about 5316.7584109117. The cubic root of 28267920 is about 304.6243516467.

The spelling of 28267920 in words is "twenty-eight million, two hundred sixty-seven thousand, nine hundred twenty".