3528284728320 has 1584 divisors, whose sum is σ = 14555714584320. Its totient is φ = 817350082560.

The previous prime is 3528284728301. The next prime is 3528284728333. The reversal of 3528284728320 is 238274828253.

3528284728320 is a `hidden beast` number, since 3 + 5 + 282 + 84 + 7 + 283 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-2 number, since 2×3528284728320² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3462496771 + ... + 3462497789.

Almost surely, 2^{3528284728320} is an apocalyptic number.

3528284728320 is a gapful number since it is divisible by the number (30) 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 3528284728320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7277857292160).

3528284728320 is an abundant number, since it is smaller than the sum of its proper divisors (11027429856000).

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

3528284728320 is a wasteful number, since it uses less digits than its factorization.

3528284728320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 3528284728320 in words is "three trillion, five hundred twenty-eight billion, two hundred eighty-four million, seven hundred twenty-eight thousand, three hundred twenty".