28970016768 has 756 divisors, whose sum is σ = 110277970452. Its totient is φ = 7524679680.

The previous prime is 28970016743. The next prime is 28970016773. The reversal of 28970016768 is 86761007982.

It is a tau number, because it is divible by the number of its divisors (756).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2633637883 + ... + 2633637893.

Almost surely, 2^28970016768 is an apocalyptic number.

28970016768 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 28970016768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55138985226).

28970016768 is an abundant number, since it is smaller than the sum of its proper divisors (81307953684).

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

28970016768 is an frugal number, since it uses more digits than its factorization.

28970016768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 23 counting only the distinct ones).

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

The spelling of 28970016768 in words is "twenty-eight billion, nine hundred seventy million, sixteen thousand, seven hundred sixty-eight".