1962828500 has 96 divisors (see below), whose sum is σ = 4625685792. Its totient is φ = 724838400.

The previous prime is 1962828481. The next prime is 1962828521. The reversal of 1962828500 is 58282691.

It can be written as a sum of positive squares in 16 ways, for example, as 241740304 + 1721088196 = 15548^2 + 41486^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 448322 + ... + 452678.

It is an arithmetic number, because the mean of its divisors is an integer number (48184227).

Almost surely, 2^1962828500 is an apocalyptic number.

1962828500 is a gapful number since it is divisible by the number (10) 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 1962828500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312842896).

1962828500 is an abundant number, since it is smaller than the sum of its proper divisors (2662857292).

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

1962828500 is a wasteful number, since it uses less digits than its factorization.

1962828500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4446 (or 4434 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 1962828500 is about 44303.8203770284. The cubic root of 1962828500 is about 1252.0666612460.

The spelling of 1962828500 in words is "one billion, nine hundred sixty-two million, eight hundred twenty-eight thousand, five hundred".