28712371968 has 720 divisors, whose sum is σ = 106843968000. Its totient is φ = 7482875904.

The previous prime is 28712371927. The next prime is 28712371981. The reversal of 28712371968 is 86917321782.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 79978573 + ... + 79978931.

It is an arithmetic number, because the mean of its divisors is an integer number (148394400).

Almost surely, 2^28712371968 is an apocalyptic number.

28712371968 is a gapful number since it is divisible by the number (28) 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 28712371968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53421984000).

28712371968 is an abundant number, since it is smaller than the sum of its proper divisors (78131596032).

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

28712371968 is a wasteful number, since it uses less digits than its factorization.

28712371968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 419 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The spelling of 28712371968 in words is "twenty-eight billion, seven hundred twelve million, three hundred seventy-one thousand, nine hundred sixty-eight".