28294560 has 216 divisors, whose sum is σ = 112599396. Its totient is φ = 6451200.

The previous prime is 28294543. The next prime is 28294583. The reversal of 28294560 is 6549282.

It is a happy number.

28294560 is a `hidden beast` number, since 2 + 8 + 2 + 94 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26255376 + 2039184 = 5124^2 + 1428^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70360 + ... + 70760.

Almost surely, 2^28294560 is an apocalyptic number.

28294560 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 28294560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56299698).

28294560 is an abundant number, since it is smaller than the sum of its proper divisors (84304836).

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

28294560 is a wasteful number, since it uses less digits than its factorization.

28294560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 418 counting only the distinct ones).

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

The square root of 28294560 is about 5319.2631068598. The cubic root of 28294560 is about 304.7200153859.

The spelling of 28294560 in words is "twenty-eight million, two hundred ninety-four thousand, five hundred sixty".