1916928500 has 96 divisors (see below), whose sum is σ = 4475671200. Its totient is φ = 714700800.

The previous prime is 1916928499. The next prime is 1916928509. The reversal of 1916928500 is 58296191.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1247361124 + 669567376 = 35318^2 + 25876^2 .

It is a super-2 number, since 2×1916928500² = 7349229748224500000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1916928509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 925466 + ... + 927534.

It is an arithmetic number, because the mean of its divisors is an integer number (46621575).

Almost surely, 2^1916928500 is an apocalyptic number.

1916928500 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 1916928500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237835600).

1916928500 is an abundant number, since it is smaller than the sum of its proper divisors (2558742700).

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

1916928500 is a wasteful number, since it uses less digits than its factorization.

1916928500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 41.

The square root of 1916928500 is about 43782.7420338197. The cubic root of 1916928500 is about 1242.2298802703.

The spelling of 1916928500 in words is "one billion, nine hundred sixteen million, nine hundred twenty-eight thousand, five hundred".