28649160 has 128 divisors (see below), whose sum is σ = 97977600. Its totient is φ = 7441920.

The previous prime is 28649149. The next prime is 28649167. The reversal of 28649160 is 6194682.

28649160 is a `hidden beast` number, since 2 + 8 + 649 + 1 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (28649167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43957 + ... + 44603.

It is an arithmetic number, because the mean of its divisors is an integer number (765450).

Almost surely, 2^28649160 is an apocalyptic number.

28649160 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 28649160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48988800).

28649160 is an abundant number, since it is smaller than the sum of its proper divisors (69328440).

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

28649160 is a wasteful number, since it uses less digits than its factorization.

28649160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 28649160 is about 5352.4910088668. The cubic root of 28649160 is about 305.9876965449.

The spelling of 28649160 in words is "twenty-eight million, six hundred forty-nine thousand, one hundred sixty".