427973328 has 160 divisors (see below), whose sum is σ = 1349913600. Its totient is φ = 129216384.

The previous prime is 427973297. The next prime is 427973333. The reversal of 427973328 is 823379724.

It is a super-2 number, since 2×427973328² = 366322338958791168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187651 + ... + 189917.

It is an arithmetic number, because the mean of its divisors is an integer number (8436960).

Almost surely, 2^427973328 is an apocalyptic number.

427973328 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 427973328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674956800).

427973328 is an abundant number, since it is smaller than the sum of its proper divisors (921940272).

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

427973328 is a wasteful number, since it uses less digits than its factorization.

427973328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 2314 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 427973328 is about 20687.5162356432. The cubic root of 427973328 is about 753.5965495400.

The spelling of 427973328 in words is "four hundred twenty-seven million, nine hundred seventy-three thousand, three hundred twenty-eight".