28613760 has 128 divisors (see below), whose sum is σ = 104284800. Its totient is φ = 6537216.

The previous prime is 28613759. The next prime is 28613773. The reversal of 28613760 is 6731682.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×28613760² = 1637494522675200, which contains 22 as substring.

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, 12376 + ... + 14504.

It is an arithmetic number, because the mean of its divisors is an integer number (814725).

Almost surely, 2^28613760 is an apocalyptic number.

28613760 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 28613760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52142400).

28613760 is an abundant number, since it is smaller than the sum of its proper divisors (75671040).

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

28613760 is a wasteful number, since it uses less digits than its factorization.

28613760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 28613760 is about 5349.1831152055. The cubic root of 28613760 is about 305.8616145587.

The spelling of 28613760 in words is "twenty-eight million, six hundred thirteen thousand, seven hundred sixty".