286152048 has 320 divisors, whose sum is σ = 1049932800. Its totient is φ = 72576000.

The previous prime is 286152023. The next prime is 286152059. The reversal of 286152048 is 840251682.

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

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1139923 + ... + 1140173.

It is an arithmetic number, because the mean of its divisors is an integer number (3281040).

Almost surely, 2^286152048 is an apocalyptic number.

286152048 is a gapful number since it is divisible by the number (28) 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 286152048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524966400).

286152048 is an abundant number, since it is smaller than the sum of its proper divisors (763780752).

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

286152048 is a wasteful number, since it uses less digits than its factorization.

286152048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 286152048 is about 16916.0293213272. The cubic root of 286152048 is about 658.9699635462.

The spelling of 286152048 in words is "two hundred eighty-six million, one hundred fifty-two thousand, forty-eight".