28711670359680 has 768 divisors, whose sum is σ = 126132069024000. Its totient is φ = 5966056857600.

The previous prime is 28711670359663. The next prime is 28711670359741. The reversal of 28711670359680 is 8695307611782.

28711670359680 is a `hidden beast` number, since 28 + 7 + 1 + 16 + 7 + 0 + 3 + 596 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 21071910 + ... + 22393050.

It is an arithmetic number, because the mean of its divisors is an integer number (164234464875).

Almost surely, 2^{28711670359680} is an apocalyptic number.

28711670359680 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 28711670359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63066034512000).

28711670359680 is an abundant number, since it is smaller than the sum of its proper divisors (97420398664320).

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

28711670359680 is a wasteful number, since it uses less digits than its factorization.

28711670359680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321198 (or 1321169 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 28711670359680 in words is "twenty-eight trillion, seven hundred eleven billion, six hundred seventy million, three hundred fifty-nine thousand, six hundred eighty".