286233948 has 288 divisors, whose sum is σ = 998000640. Its totient is φ = 67167360.

The previous prime is 286233911. The next prime is 286233953. The reversal of 286233948 is 849332682.

It is a super-3 number, since 3×286233948³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

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, 6090061 + ... + 6090107.

It is an arithmetic number, because the mean of its divisors is an integer number (3465280).

Almost surely, 2^286233948 is an apocalyptic number.

286233948 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 286233948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499000320).

286233948 is an abundant number, since it is smaller than the sum of its proper divisors (711766692).

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

286233948 is a wasteful number, since it uses less digits than its factorization.

286233948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 83 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 286233948 is about 16918.4499289976. The cubic root of 286233948 is about 659.0328258046.

The spelling of 286233948 in words is "two hundred eighty-six million, two hundred thirty-three thousand, nine hundred forty-eight".