28288000 has 176 divisors, whose sum is σ = 80471664. Its totient is φ = 9830400.

The previous prime is 28287929. The next prime is 28288019. The reversal of 28288000 is 88282.

It can be written as a sum of positive squares in 8 ways, for example, as 10445824 + 17842176 = 3232^2 + 4224^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 28288000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1663992 + ... + 1664008.

Almost surely, 2^28288000 is an apocalyptic number.

28288000 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 28288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40235832).

28288000 is an abundant number, since it is smaller than the sum of its proper divisors (52183664).

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

28288000 is a wasteful number, since it uses less digits than its factorization.

28288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 28288000 is about 5318.6464443503. The cubic root of 28288000 is about 304.6964641237.

The spelling of 28288000 in words is "twenty-eight million, two hundred eighty-eight thousand".