28968160 has 96 divisors (see below), whose sum is σ = 77686560. Its totient is φ = 10119168.

The previous prime is 28968143. The next prime is 28968169. The reversal of 28968160 is 6186982.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28968169) 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, 39154 + ... + 39886.

It is an arithmetic number, because the mean of its divisors is an integer number (809235).

Almost surely, 2^28968160 is an apocalyptic number.

28968160 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 28968160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38843280).

28968160 is an abundant number, since it is smaller than the sum of its proper divisors (48718400).

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

28968160 is a wasteful number, since it uses less digits than its factorization.

28968160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 28968160 is about 5382.2077254599. The cubic root of 28968160 is about 307.1192016601.

The spelling of 28968160 in words is "twenty-eight million, nine hundred sixty-eight thousand, one hundred sixty".