1930328820 has 288 divisors, whose sum is σ = 7244310528. Its totient is φ = 421863552.

The previous prime is 1930328791. The next prime is 1930328821. The reversal of 1930328820 is 288230391.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1930328821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 781227 + ... + 783693.

It is an arithmetic number, because the mean of its divisors is an integer number (25153856).

Almost surely, 2^1930328820 is an apocalyptic number.

1930328820 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 1930328820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3622155264).

1930328820 is an abundant number, since it is smaller than the sum of its proper divisors (5313981708).

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

1930328820 is a wasteful number, since it uses less digits than its factorization.

1930328820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1930328820 is about 43935.5075081647. The cubic root of 1930328820 is about 1245.1177708304.

The spelling of 1930328820 in words is "one billion, nine hundred thirty million, three hundred twenty-eight thousand, eight hundred twenty".