28310768640 has 1056 divisors, whose sum is σ = 125075957760. Its totient is φ = 5750784000.

The previous prime is 28310768639. The next prime is 28310768659. The reversal of 28310768640 is 4686701382.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 280304590 + ... + 280304690.

Almost surely, 2^28310768640 is an apocalyptic number.

28310768640 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 28310768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62537978880).

28310768640 is an abundant number, since it is smaller than the sum of its proper divisors (96765189120).

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

28310768640 is a wasteful number, since it uses less digits than its factorization.

28310768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 28310768640 in words is "twenty-eight billion, three hundred ten million, seven hundred sixty-eight thousand, six hundred forty".