28259280 has 300 divisors, whose sum is σ = 115455780. Its totient is φ = 6386688.

The previous prime is 28259269. The next prime is 28259281. The reversal of 28259280 is 8295282.

It can be written as a sum of positive squares in 2 ways, for example, as 7683984 + 20575296 = 2772^2 + 4536^2 .

It is a super-2 number, since 2×28259280² = 1597173812236800, 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 (28259281) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 317476 + ... + 317564.

Almost surely, 2^28259280 is an apocalyptic number.

28259280 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 28259280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57727890).

28259280 is an abundant number, since it is smaller than the sum of its proper divisors (87196500).

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

28259280 is a wasteful number, since it uses less digits than its factorization.

28259280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 106 counting only the distinct ones).

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

The square root of 28259280 is about 5315.9458236517. The cubic root of 28259280 is about 304.5933126622.

The spelling of 28259280 in words is "twenty-eight million, two hundred fifty-nine thousand, two hundred eighty".