283842256320 has 448 divisors, whose sum is σ = 1147140403200. Its totient is φ = 64721756160.

The previous prime is 283842256307. The next prime is 283842256333. The reversal of 283842256320 is 23652248382.

It is a happy number.

283842256320 is a `hidden beast` number, since 2 + 8 + 3 + 8 + 4 + 2 + 2 + 5 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (283842256307) and next prime (283842256333).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26061436 + ... + 26072324.

Almost surely, 2^283842256320 is an apocalyptic number.

283842256320 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 283842256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573570201600).

283842256320 is an abundant number, since it is smaller than the sum of its proper divisors (863298146880).

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

283842256320 is a wasteful number, since it uses less digits than its factorization.

283842256320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11353 (or 11337 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 283842256320 in words is "two hundred eighty-three billion, eight hundred forty-two million, two hundred fifty-six thousand, three hundred twenty".