7828285536 has 144 divisors (see below), whose sum is σ = 22885598736. Its totient is φ = 2536869888.

The previous prime is 7828285523. The next prime is 7828285541. The reversal of 7828285536 is 6355828287.

7828285536 is a `hidden beast` number, since 7 + 8 + 2 + 82 + 8 + 553 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×7828285536² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2884116 + ... + 2886828.

It is an arithmetic number, because the mean of its divisors is an integer number (158927769).

Almost surely, 2^7828285536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7828285536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11442799368).

7828285536 is an abundant number, since it is smaller than the sum of its proper divisors (15057313200).

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

7828285536 is a wasteful number, since it uses less digits than its factorization.

7828285536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005 (or 2994 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 7828285536 is about 88477.5990632657. The cubic root of 7828285536 is about 1985.5868412759.

The spelling of 7828285536 in words is "seven billion, eight hundred twenty-eight million, two hundred eighty-five thousand, five hundred thirty-six".