283817920 has 56 divisors (see below), whose sum is σ = 677314368. Its totient is φ = 113280000.

The previous prime is 283817903. The next prime is 283817921. The reversal of 283817920 is 29718382.

It is a super-2 number, since 2×283817920² = 161105223426252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283817921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239730 + ... + 240910.

Almost surely, 2^283817920 is an apocalyptic number.

283817920 is a gapful number since it is divisible by the number (20) 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 283817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338657184).

283817920 is an abundant number, since it is smaller than the sum of its proper divisors (393496448).

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

283817920 is a wasteful number, since it uses less digits than its factorization.

283817920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 283817920 is about 16846.8964500884. The cubic root of 283817920 is about 657.1733412810.

The spelling of 283817920 in words is "two hundred eighty-three million, eight hundred seventeen thousand, nine hundred twenty".