1128845300 has 108 divisors (see below), whose sum is σ = 2786240940. Its totient is φ = 396211200.

The previous prime is 1128845293. The next prime is 1128845303. The reversal of 1128845300 is 35488211.

1128845300 = 3538² + 3539² + ... + 3625².

It can be written as a sum of positive squares in 6 ways, for example, as 12082576 + 1116762724 = 3476^2 + 33418^2 .

It is a super-2 number, since 2×1128845300² = 2548583422664180000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1128845303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 349292 + ... + 352508.

Almost surely, 2^1128845300 is an apocalyptic number.

1128845300 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 1128845300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393120470).

1128845300 is an abundant number, since it is smaller than the sum of its proper divisors (1657395640).

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

1128845300 is a wasteful number, since it uses less digits than its factorization.

1128845300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 1128845300 is about 33598.2931114067. The cubic root of 1128845300 is about 1041.2255338166.

The spelling of 1128845300 in words is "one billion, one hundred twenty-eight million, eight hundred forty-five thousand, three hundred".