5852628864 has 128 divisors (see below), whose sum is σ = 17675539200. Its totient is φ = 1905458688.

The previous prime is 5852628857. The next prime is 5852628871. The reversal of 5852628864 is 4688262585.

It is a happy number.

5852628864 is a `hidden beast` number, since 5 + 8 + 5 + 2 + 628 + 8 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5852628857) and next prime (5852628871).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5852628864.

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 15 ways as a sum of consecutive naturals, for example, 128917 + ... + 168299.

It is an arithmetic number, because the mean of its divisors is an integer number (138090150).

Almost surely, 2^5852628864 is an apocalyptic number.

5852628864 is a gapful number since it is divisible by the number (54) 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 5852628864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8837769600).

5852628864 is an abundant number, since it is smaller than the sum of its proper divisors (11822910336).

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

5852628864 is a wasteful number, since it uses less digits than its factorization.

5852628864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39449 (or 39431 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The square root of 5852628864 is about 76502.4761952187. The cubic root of 5852628864 is about 1802.1198136811.

The spelling of 5852628864 in words is "five billion, eight hundred fifty-two million, six hundred twenty-eight thousand, eight hundred sixty-four".