28626480 has 160 divisors (see below), whose sum is σ = 102225600. Its totient is φ = 7354368.

The previous prime is 28626473. The next prime is 28626497. The reversal of 28626480 is 8462682.

28626480 is a `hidden beast` number, since 2 + 8 + 6 + 2 + 648 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 62412 + ... + 62868.

It is an arithmetic number, because the mean of its divisors is an integer number (638910).

Almost surely, 2^28626480 is an apocalyptic number.

28626480 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 28626480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51112800).

28626480 is an abundant number, since it is smaller than the sum of its proper divisors (73599120).

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

28626480 is a wasteful number, since it uses less digits than its factorization.

28626480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 28626480 is about 5350.3719496872. The cubic root of 28626480 is about 305.9069305579.

The spelling of 28626480 in words is "twenty-eight million, six hundred twenty-six thousand, four hundred eighty".