28581628080 has 320 divisors, whose sum is σ = 97713495936. Its totient is φ = 6881280000.

The previous prime is 28581628067. The next prime is 28581628111. The reversal of 28581628080 is 8082618582.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10202680 + ... + 10205480.

Almost surely, 2^28581628080 is an apocalyptic number.

28581628080 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 28581628080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48856747968).

28581628080 is an abundant number, since it is smaller than the sum of its proper divisors (69131867856).

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

28581628080 is a wasteful number, since it uses less digits than its factorization.

28581628080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 48.

The spelling of 28581628080 in words is "twenty-eight billion, five hundred eighty-one million, six hundred twenty-eight thousand, eighty".