28088160 has 96 divisors (see below), whose sum is σ = 89268480. Its totient is φ = 7423488.

The previous prime is 28088149. The next prime is 28088161. The reversal of 28088160 is 6188082.

28088160 = 122² + 123² + ... + 441².

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28088161) 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, 78061 + ... + 78419.

It is an arithmetic number, because the mean of its divisors is an integer number (929880).

Almost surely, 2^28088160 is an apocalyptic number.

28088160 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 28088160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44634240).

28088160 is an abundant number, since it is smaller than the sum of its proper divisors (61180320).

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

28088160 is a wasteful number, since it uses less digits than its factorization.

28088160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 28088160 is about 5299.8264122516. The cubic root of 28088160 is about 303.9772605336.

The spelling of 28088160 in words is "twenty-eight million, eighty-eight thousand, one hundred sixty".