28611636480 has 864 divisors, whose sum is σ = 124387570944. Its totient is φ = 6147145728.

The previous prime is 28611636461. The next prime is 28611636523. The reversal of 28611636480 is 8463611682.

28611636480 is a `hidden beast` number, since 2 + 8 + 6 + 1 + 1 + 636 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37013374 + ... + 37014146.

It is an arithmetic number, because the mean of its divisors is an integer number (143967096).

Almost surely, 2^28611636480 is an apocalyptic number.

28611636480 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 28611636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62193785472).

28611636480 is an abundant number, since it is smaller than the sum of its proper divisors (95775934464).

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

28611636480 is an equidigital number, since it uses as much as digits as its factorization.

28611636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 28611636480 in words is "twenty-eight billion, six hundred eleven million, six hundred thirty-six thousand, four hundred eighty".