28477609816320 has 1728 divisors, whose sum is σ = 123344962191360. Its totient is φ = 5919414681600.

The previous prime is 28477609816309. The next prime is 28477609816349. The reversal of 28477609816320 is 2361890677482.

28477609816320 is a `hidden beast` number, since 2 + 8 + 4 + 7 + 7 + 609 + 8 + 16 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6032111560 + ... + 6032116280.

Almost surely, 2^{28477609816320} is an apocalyptic number.

28477609816320 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 28477609816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61672481095680).

28477609816320 is an abundant number, since it is smaller than the sum of its proper divisors (94867352375040).

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

28477609816320 is a wasteful number, since it uses less digits than its factorization.

28477609816320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4932 (or 4915 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 28477609816320 in words is "twenty-eight trillion, four hundred seventy-seven billion, six hundred nine million, eight hundred sixteen thousand, three hundred twenty".