1124828880 has 320 divisors, whose sum is σ = 4242585600. Its totient is φ = 240814080.

The previous prime is 1124828867. The next prime is 1124828909. The reversal of 1124828880 is 888284211.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 4181386 + ... + 4181654.

It is an arithmetic number, because the mean of its divisors is an integer number (13258080).

Almost surely, 2^1124828880 is an apocalyptic number.

1124828880 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 1124828880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121292800).

1124828880 is an abundant number, since it is smaller than the sum of its proper divisors (3117756720).

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

1124828880 is a wasteful number, since it uses less digits than its factorization.

1124828880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 42.

The square root of 1124828880 is about 33538.4686591383. The cubic root of 1124828880 is about 1039.9891764160.

The spelling of 1124828880 in words is "one billion, one hundred twenty-four million, eight hundred twenty-eight thousand, eight hundred eighty".