28709634816 has 360 divisors, whose sum is σ = 94610333664. Its totient is φ = 8612904960.

The previous prime is 28709634797. The next prime is 28709634841. The reversal of 28709634816 is 61843690782.

28709634816 is a `hidden beast` number, since 2 + 8 + 70 + 96 + 3 + 481 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8106006 + ... + 8109546.

Almost surely, 2^28709634816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28709634816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47305166832).

28709634816 is an abundant number, since it is smaller than the sum of its proper divisors (65900698848).

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

28709634816 is a wasteful number, since it uses less digits than its factorization.

28709634816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 28709634816 in words is "twenty-eight billion, seven hundred nine million, six hundred thirty-four thousand, eight hundred sixteen".