28057680 has 240 divisors, whose sum is σ = 113742720. Its totient is φ = 6054912.

The previous prime is 28057643. The next prime is 28057681. The reversal of 28057680 is 8675082.

28057680 is a `hidden beast` number, since 2 + 8 + 0 + 576 + 80 = 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (28057681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95614 + ... + 95906.

It is an arithmetic number, because the mean of its divisors is an integer number (473928).

Almost surely, 2^28057680 is an apocalyptic number.

28057680 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 28057680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56871360).

28057680 is an abundant number, since it is smaller than the sum of its proper divisors (85685040).

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

28057680 is a wasteful number, since it uses less digits than its factorization.

28057680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 28057680 is about 5296.9500658398. The cubic root of 28057680 is about 303.8672666154.

The spelling of 28057680 in words is "twenty-eight million, fifty-seven thousand, six hundred eighty".