28592640 has 240 divisors, whose sum is σ = 106285608. Its totient is φ = 7077888.

The previous prime is 28592617. The next prime is 28592651. The reversal of 28592640 is 4629582.

It is a happy number.

28592640 is a `hidden beast` number, since 2 + 8 + 5 + 9 + 2 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26378496 + 2214144 = 5136^2 + 1488^2 .

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 = 28592595 and 28592604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 391644 + ... + 391716.

Almost surely, 2^28592640 is an apocalyptic number.

28592640 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 28592640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53142804).

28592640 is an abundant number, since it is smaller than the sum of its proper divisors (77692968).

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

28592640 is a wasteful number, since it uses less digits than its factorization.

28592640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 28592640 is about 5347.2086175873. The cubic root of 28592640 is about 305.7863432290.

The spelling of 28592640 in words is "twenty-eight million, five hundred ninety-two thousand, six hundred forty".