283988131920 has 560 divisors, whose sum is σ = 1022279927040. Its totient is φ = 73297695744.

The previous prime is 283988131807. The next prime is 283988131951. The reversal of 283988131920 is 29131889382.

It is a super-3 number, since 3×283988131920³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 244185259 + ... + 244186421.

Almost surely, 2^283988131920 is an apocalyptic number.

283988131920 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 283988131920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511139963520).

283988131920 is an abundant number, since it is smaller than the sum of its proper divisors (738291795120).

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

283988131920 is a wasteful number, since it uses less digits than its factorization.

283988131920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 283988131920 in words is "two hundred eighty-three billion, nine hundred eighty-eight million, one hundred thirty-one thousand, nine hundred twenty".