285948432 has 480 divisors, whose sum is σ = 1111428864. Its totient is φ = 66355200.

The previous prime is 285948427. The next prime is 285948451. The reversal of 285948432 is 234849582.

285948432 is a `hidden beast` number, since 28 + 594 + 8 + 4 + 32 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6974332 + ... + 6974372.

Almost surely, 2^285948432 is an apocalyptic number.

285948432 is a gapful number since it is divisible by the number (22) 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 285948432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555714432).

285948432 is an abundant number, since it is smaller than the sum of its proper divisors (825480432).

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

285948432 is a wasteful number, since it uses less digits than its factorization.

285948432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 118 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 285948432 is about 16910.0098166737. The cubic root of 285948432 is about 658.8136263042.

The spelling of 285948432 in words is "two hundred eighty-five million, nine hundred forty-eight thousand, four hundred thirty-two".