1124137728 has 216 divisors, whose sum is σ = 3785553408. Its totient is φ = 314136576.

The previous prime is 1124137711. The next prime is 1124137739. The reversal of 1124137728 is 8277314211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1124137692 and 1124137701.

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, 757275 + ... + 758757.

Almost surely, 2^1124137728 is an apocalyptic number.

1124137728 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 1124137728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892776704).

1124137728 is an abundant number, since it is smaller than the sum of its proper divisors (2661415680).

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

1124137728 is a wasteful number, since it uses less digits than its factorization.

1124137728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1542 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 1124137728 is about 33528.1632064746. The cubic root of 1124137728 is about 1039.7761253813.

The spelling of 1124137728 in words is "one billion, one hundred twenty-four million, one hundred thirty-seven thousand, seven hundred twenty-eight".