28647760 has 40 divisors (see below), whose sum is σ = 67216680. Its totient is φ = 11354112.

The previous prime is 28647757. The next prime is 28647779. The reversal of 28647760 is 6774682.

It can be written as a sum of positive squares in 4 ways, for example, as 853776 + 27793984 = 924^2 + 5272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7456 + ... + 10624.

It is an arithmetic number, because the mean of its divisors is an integer number (1680417).

Almost surely, 2^28647760 is an apocalyptic number.

28647760 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 28647760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33608340).

28647760 is an abundant number, since it is smaller than the sum of its proper divisors (38568920).

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

28647760 is a wasteful number, since it uses less digits than its factorization.

28647760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3295 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 28647760 is about 5352.3602270400. The cubic root of 28647760 is about 305.9827122248.

The spelling of 28647760 in words is "twenty-eight million, six hundred forty-seven thousand, seven hundred sixty".