283956864 has 128 divisors (see below), whose sum is σ = 799761600. Its totient is φ = 89112576.

The previous prime is 283956863. The next prime is 283956901. The reversal of 283956864 is 468659382.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×283956864² = 161263001225428992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283956863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478552 + ... + 479144.

Almost surely, 2^283956864 is an apocalyptic number.

283956864 is a gapful number since it is divisible by the number (24) 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 283956864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399880800).

283956864 is an abundant number, since it is smaller than the sum of its proper divisors (515804736).

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

283956864 is a wasteful number, since it uses less digits than its factorization.

283956864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 670 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The square root of 283956864 is about 16851.0196724115. The cubic root of 283956864 is about 657.2805642456.

The spelling of 283956864 in words is "two hundred eighty-three million, nine hundred fifty-six thousand, eight hundred sixty-four".