28705812480 has 208 divisors, whose sum is σ = 102054617760. Its totient is φ = 7654735872.

The previous prime is 28705812463. The next prime is 28705812517. The reversal of 28705812480 is 8421850782.

It is a happy number.

28705812480 is a `hidden beast` number, since 28 + 7 + 0 + 581 + 2 + 48 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 527004 + ... + 578916.

Almost surely, 2^28705812480 is an apocalyptic number.

28705812480 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 28705812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51027308880).

28705812480 is an abundant number, since it is smaller than the sum of its proper divisors (73348805280).

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

28705812480 is an equidigital number, since it uses as much as digits as its factorization.

28705812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51951 (or 51923 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 28705812480 in words is "twenty-eight billion, seven hundred five million, eight hundred twelve thousand, four hundred eighty".