283198080 has 384 divisors, whose sum is σ = 1054892160. Its totient is φ = 64430080.

The previous prime is 283198073. The next prime is 283198109. The reversal of 283198080 is 80891382.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5343334 + ... + 5343386.

It is an arithmetic number, because the mean of its divisors is an integer number (2747115).

Almost surely, 2^283198080 is an apocalyptic number.

283198080 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 283198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527446080).

283198080 is an abundant number, since it is smaller than the sum of its proper divisors (771694080).

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

283198080 is a wasteful number, since it uses less digits than its factorization.

283198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 283198080 is about 16828.4901283508. The cubic root of 283198080 is about 656.6945845478.

The spelling of 283198080 in words is "two hundred eighty-three million, one hundred ninety-eight thousand, eighty".