1128045120 has 224 divisors, whose sum is σ = 3820290048. Its totient is φ = 281352192.

The previous prime is 1128045109. The next prime is 1128045137. The reversal of 1128045120 is 215408211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1037217 + ... + 1038303.

Almost surely, 2^1128045120 is an apocalyptic number.

1128045120 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 1128045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910145024).

1128045120 is an abundant number, since it is smaller than the sum of its proper divisors (2692244928).

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

1128045120 is a wasteful number, since it uses less digits than its factorization.

1128045120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 1128045120 is about 33586.3829550013. The cubic root of 1128045120 is about 1040.9794520348.

It can be divided in two parts, 11280 and 45120, that multiplied together give a square (508953600 = 22560²).

The spelling of 1128045120 in words is "one billion, one hundred twenty-eight million, forty-five thousand, one hundred twenty".