3628458288 has 320 divisors, whose sum is σ = 13379143680. Its totient is φ = 915121152.

The previous prime is 3628458283. The next prime is 3628458307. The reversal of 3628458288 is 8828548263.

3628458288 is a `hidden beast` number, since 3 + 628 + 4 + 5 + 8 + 2 + 8 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3628458283) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 902170 + ... + 906182.

It is an arithmetic number, because the mean of its divisors is an integer number (41809824).

Almost surely, 2^3628458288 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 3628458288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6689571840).

3628458288 is an abundant number, since it is smaller than the sum of its proper divisors (9750685392).

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

3628458288 is a wasteful number, since it uses less digits than its factorization.

3628458288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4073 (or 4061 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 54.

The square root of 3628458288 is about 60236.6855661896. The cubic root of 3628458288 is about 1536.6467613223.

The spelling of 3628458288 in words is "three billion, six hundred twenty-eight million, four hundred fifty-eight thousand, two hundred eighty-eight".