1928061120 has 448 divisors, whose sum is σ = 6938320896. Its totient is φ = 451215360.

The previous prime is 1928061073. The next prime is 1928061131. The reversal of 1928061120 is 211608291.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18718989 + ... + 18719091.

Almost surely, 2^1928061120 is an apocalyptic number.

1928061120 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 1928061120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3469160448).

1928061120 is an abundant number, since it is smaller than the sum of its proper divisors (5010259776).

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

1928061120 is a wasteful number, since it uses less digits than its factorization.

1928061120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 198 counting only the distinct ones).

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

The square root of 1928061120 is about 43909.6927796130. The cubic root of 1928061120 is about 1244.6300024701.

The spelling of 1928061120 in words is "one billion, nine hundred twenty-eight million, sixty-one thousand, one hundred twenty".