28739261416320 has 2304 divisors, whose sum is σ = 126586891267200. Its totient is φ = 5885122314240.

The previous prime is 28739261416301. The next prime is 28739261416391. The reversal of 28739261416320 is 2361416293782.

28739261416320 is a `hidden beast` number, since 2 + 8 + 7 + 3 + 9 + 2 + 614 + 16 + 3 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 148908090144 + ... + 148908090336.

Almost surely, 2^{28739261416320} is an apocalyptic number.

28739261416320 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 28739261416320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63293445633600).

28739261416320 is an abundant number, since it is smaller than the sum of its proper divisors (97847629850880).

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

28739261416320 is a wasteful number, since it uses less digits than its factorization.

28739261416320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 28739261416320 in words is "twenty-eight trillion, seven hundred thirty-nine billion, two hundred sixty-one million, four hundred sixteen thousand, three hundred twenty".