1128145920 has 264 divisors, whose sum is σ = 3972686592. Its totient is φ = 273039360.

The previous prime is 1128145871. The next prime is 1128145937. The reversal of 1128145920 is 295418211.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1858257 + ... + 1858863.

Almost surely, 2^1128145920 is an apocalyptic number.

1128145920 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 1128145920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1986343296).

1128145920 is an abundant number, since it is smaller than the sum of its proper divisors (2844540672).

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

1128145920 is a wasteful number, since it uses less digits than its factorization.

1128145920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 1128145920 is about 33587.8835296301. The cubic root of 1128145920 is about 1041.0104577695.

The spelling of 1128145920 in words is "one billion, one hundred twenty-eight million, one hundred forty-five thousand, nine hundred twenty".