1920112128 has 480 divisors, whose sum is σ = 6649074432. Its totient is φ = 547430400.

The previous prime is 1920112121. The next prime is 1920112147. The reversal of 1920112128 is 8212110291.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1920112121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31477218 + ... + 31477278.

Almost surely, 2^1920112128 is an apocalyptic number.

1920112128 is a gapful number since it is divisible by the number (18) 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 1920112128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3324537216).

1920112128 is an abundant number, since it is smaller than the sum of its proper divisors (4728962304).

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

1920112128 is an equidigital number, since it uses as much as digits as its factorization.

1920112128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 1920112128 is about 43819.0840616278. The cubic root of 1920112128 is about 1242.9171968943.

It can be divided in two parts, 19201 and 12128, that added together give a square (31329 = 177²).

The spelling of 1920112128 in words is "one billion, nine hundred twenty million, one hundred twelve thousand, one hundred twenty-eight".