28771303680 has 720 divisors, whose sum is σ = 121802123520. Its totient is φ = 6344884224.

The previous prime is 28771303621. The next prime is 28771303697. The reversal of 28771303680 is 8630317782.

28771303680 is a `hidden beast` number, since 287 + 7 + 1 + 3 + 0 + 368 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21046357 + ... + 21047723.

It is an arithmetic number, because the mean of its divisors is an integer number (169169616).

Almost surely, 2^28771303680 is an apocalyptic number.

28771303680 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 28771303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60901061760).

28771303680 is an abundant number, since it is smaller than the sum of its proper divisors (93030819840).

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

28771303680 is a wasteful number, since it uses less digits than its factorization.

28771303680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 28771303680 in words is "twenty-eight billion, seven hundred seventy-one million, three hundred three thousand, six hundred eighty".