28961753472 has 320 divisors, whose sum is σ = 89573299200. Its totient is φ = 9279360000.

The previous prime is 28961753467. The next prime is 28961753489. The reversal of 28961753472 is 27435716982.

It is a happy number.

28961753472 is a `hidden beast` number, since 2 + 8 + 96 + 17 + 534 + 7 + 2 = 666.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80673229 + ... + 80673587.

It is an arithmetic number, because the mean of its divisors is an integer number (279916560).

Almost surely, 2^28961753472 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 28961753472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44786649600).

28961753472 is an abundant number, since it is smaller than the sum of its proper divisors (60611545728).

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

28961753472 is a wasteful number, since it uses less digits than its factorization.

28961753472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 646 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 28961753472 in words is "twenty-eight billion, nine hundred sixty-one million, seven hundred fifty-three thousand, four hundred seventy-two".