427433328 has 160 divisors (see below), whose sum is σ = 1416337920. Its totient is φ = 120890880.

The previous prime is 427433299. The next prime is 427433339. The reversal of 427433328 is 823334724.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 427433292 and 427433301.

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, 322908 + ... + 324228.

It is an arithmetic number, because the mean of its divisors is an integer number (8852112).

Almost surely, 2^427433328 is an apocalyptic number.

427433328 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 427433328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708168960).

427433328 is an abundant number, since it is smaller than the sum of its proper divisors (988904592).

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

427433328 is a wasteful number, since it uses less digits than its factorization.

427433328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1440 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 427433328 is about 20674.4607668495. The cubic root of 427433328 is about 753.2794632601.

The spelling of 427433328 in words is "four hundred twenty-seven million, four hundred thirty-three thousand, three hundred twenty-eight".