1928113140 has 96 divisors (see below), whose sum is σ = 5913492480. Its totient is φ = 467224576.

The previous prime is 1928113139. The next prime is 1928113171. The reversal of 1928113140 is 413118291.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1928113098 and 1928113107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3012 + ... + 62171.

It is an arithmetic number, because the mean of its divisors is an integer number (61598880).

Almost surely, 2^1928113140 is an apocalyptic number.

1928113140 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 1928113140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956746240).

1928113140 is an abundant number, since it is smaller than the sum of its proper divisors (3985379340).

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

1928113140 is a wasteful number, since it uses less digits than its factorization.

1928113140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65241 (or 65239 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 1928113140 is about 43910.2851277466. The cubic root of 1928113140 is about 1244.6411959379.

The spelling of 1928113140 in words is "one billion, nine hundred twenty-eight million, one hundred thirteen thousand, one hundred forty".