28648080 has 100 divisors (see below), whose sum is σ = 99521532. Its totient is φ = 7637760.

The previous prime is 28648069. The next prime is 28648091. The reversal of 28648080 is 8084682.

28648080 is a `hidden beast` number, since 2 + 8 + 648 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28648069) and next prime (28648091).

It can be written as a sum of positive squares in 2 ways, for example, as 17438976 + 11209104 = 4176^2 + 3348^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4270 + ... + 8690.

Almost surely, 2^28648080 is an apocalyptic number.

28648080 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 28648080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49760766).

28648080 is an abundant number, since it is smaller than the sum of its proper divisors (70873452).

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

28648080 is a wasteful number, since it uses less digits than its factorization.

28648080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4446 (or 4431 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 28648080 is about 5352.3901203107. The cubic root of 28648080 is about 305.9838515123.

The spelling of 28648080 in words is "twenty-eight million, six hundred forty-eight thousand, eighty".