5283587456 has 64 divisors (see below), whose sum is σ = 12062112000. Its totient is φ = 2258274816.

The previous prime is 5283587389. The next prime is 5283587483. The reversal of 5283587456 is 6547853825.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5283587398 and 5283587407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 331805 + ... + 347363.

It is an arithmetic number, because the mean of its divisors is an integer number (188470500).

Almost surely, 2^5283587456 is an apocalyptic number.

5283587456 is a gapful number since it is divisible by the number (56) 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 5283587456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6031056000).

5283587456 is an abundant number, since it is smaller than the sum of its proper divisors (6778524544).

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

5283587456 is a wasteful number, since it uses less digits than its factorization.

5283587456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15959 (or 15947 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 53.

The square root of 5283587456 is about 72688.2896758481. The cubic root of 5283587456 is about 1741.7118239532.

The spelling of 5283587456 in words is "five billion, two hundred eighty-three million, five hundred eighty-seven thousand, four hundred fifty-six".