447566228928 has 1512 divisors, whose sum is σ = 1766922917760. Its totient is φ = 107226685440.

The previous prime is 447566228903. The next prime is 447566228939. The reversal of 447566228928 is 829822665744.

447566228928 is a `hidden beast` number, since 4 + 47 + 566 + 2 + 2 + 8 + 9 + 28 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4106112138 + ... + 4106112246.

Almost surely, 2^447566228928 is an apocalyptic number.

447566228928 is a gapful number since it is divisible by the number (48) 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 447566228928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883461458880).

447566228928 is an abundant number, since it is smaller than the sum of its proper divisors (1319356688832).

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

447566228928 is a wasteful number, since it uses less digits than its factorization.

447566228928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 184 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 447566228928 in words is "four hundred forty-seven billion, five hundred sixty-six million, two hundred twenty-eight thousand, nine hundred twenty-eight".