28661907456 has 576 divisors, whose sum is σ = 105696057600. Its totient is φ = 7474249728.

The previous prime is 28661907451. The next prime is 28661907467. The reversal of 28661907456 is 65470916682.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (28661907451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322043860 + ... + 322043948.

It is an arithmetic number, because the mean of its divisors is an integer number (183500100).

Almost surely, 2^28661907456 is an apocalyptic number.

28661907456 is a gapful number since it is divisible by the number (26) 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 28661907456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52848028800).

28661907456 is an abundant number, since it is smaller than the sum of its proper divisors (77034150144).

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

28661907456 is an frugal number, since it uses more digits than its factorization.

28661907456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 28661907456 in words is "twenty-eight billion, six hundred sixty-one million, nine hundred seven thousand, four hundred fifty-six".