28435680 has 432 divisors, whose sum is σ = 125483904. Its totient is φ = 5806080.

The previous prime is 28435661. The next prime is 28435691. The reversal of 28435680 is 8653482.

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 71 ways as a sum of consecutive naturals, for example, 917265 + ... + 917295.

It is an arithmetic number, because the mean of its divisors is an integer number (290472).

Almost surely, 2^28435680 is an apocalyptic number.

28435680 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 28435680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62741952).

28435680 is an abundant number, since it is smaller than the sum of its proper divisors (97048224).

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

28435680 is a wasteful number, since it uses less digits than its factorization.

28435680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 28435680 is about 5332.5116033629. The cubic root of 28435680 is about 305.2257756756.

The spelling of 28435680 in words is "twenty-eight million, four hundred thirty-five thousand, six hundred eighty".