1961828352 has 336 divisors, whose sum is σ = 6440484960. Its totient is φ = 570163200.

The previous prime is 1961828329. The next prime is 1961828389. The reversal of 1961828352 is 2538281691.

1961828352 is a `hidden beast` number, since 1 + 9 + 618 + 28 + 3 + 5 + 2 = 666.

It is a super-2 number, since 2×1961828352² = 7697540965422071808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1961828298 and 1961828307.

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, 33251299 + ... + 33251357.

It is an arithmetic number, because the mean of its divisors is an integer number (19168110).

Almost surely, 2^1961828352 is an apocalyptic number.

1961828352 is a gapful number since it is divisible by the number (12) 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 1961828352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3220242480).

1961828352 is an abundant number, since it is smaller than the sum of its proper divisors (4478656608).

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

1961828352 is a wasteful number, since it uses less digits than its factorization.

1961828352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 116 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 1961828352 is about 44292.5315600723. The cubic root of 1961828352 is about 1251.8539639879.

The spelling of 1961828352 in words is "one billion, nine hundred sixty-one million, eight hundred twenty-eight thousand, three hundred fifty-two".