28682640 has 240 divisors, whose sum is σ = 115349760. Its totient is φ = 6531840.

The previous prime is 28682623. The next prime is 28682671. The reversal of 28682640 is 4628682.

28682640 is a `hidden beast` number, since 2 + 8 + 6 + 8 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28682595 and 28682604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105705 + ... + 105975.

It is an arithmetic number, because the mean of its divisors is an integer number (480624).

Almost surely, 2^28682640 is an apocalyptic number.

28682640 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 28682640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57674880).

28682640 is an abundant number, since it is smaller than the sum of its proper divisors (86667120).

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

28682640 is a wasteful number, since it uses less digits than its factorization.

28682640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 28682640 is about 5355.6176114431. The cubic root of 28682640 is about 306.1068446577.

The spelling of 28682640 in words is "twenty-eight million, six hundred eighty-two thousand, six hundred forty".