3528628992 has 216 divisors, whose sum is σ = 11719527456. Its totient is φ = 1000194048.

The previous prime is 3528628981. The next prime is 3528629003. The reversal of 3528628992 is 2998268253.

3528628992 is a `hidden beast` number, since 3 + 5 + 2 + 8 + 628 + 9 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (3528628981) and next prime (3528629003).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2208738 + ... + 2210334.

Almost surely, 2^3528628992 is an apocalyptic number.

3528628992 is a gapful number since it is divisible by the number (32) 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 3528628992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5859763728).

3528628992 is an abundant number, since it is smaller than the sum of its proper divisors (8190898464).

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

3528628992 is a wasteful number, since it uses less digits than its factorization.

3528628992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1746 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 3528628992 is about 59402.2641992711. The cubic root of 3528628992 is about 1522.4229868751.

The spelling of 3528628992 in words is "three billion, five hundred twenty-eight million, six hundred twenty-eight thousand, nine hundred ninety-two".