1146601728 has 108 divisors (see below), whose sum is σ = 3337549488. Its totient is φ = 378547200.

The previous prime is 1146601717. The next prime is 1146601741. The reversal of 1146601728 is 8271066411.

It is a happy number.

1146601728 is a `hidden beast` number, since 1 + 1 + 46 + 601 + 7 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1146601692 and 1146601701.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244203 + ... + 248853.

It is an arithmetic number, because the mean of its divisors is an integer number (30903236).

Almost surely, 2^1146601728 is an apocalyptic number.

1146601728 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 1146601728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668774744).

1146601728 is an abundant number, since it is smaller than the sum of its proper divisors (2190947760).

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

1146601728 is a wasteful number, since it uses less digits than its factorization.

1146601728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4780 (or 4763 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1146601728 is about 33861.5080585611. The cubic root of 1146601728 is about 1046.6565541010.

The spelling of 1146601728 in words is "one billion, one hundred forty-six million, six hundred one thousand, seven hundred twenty-eight".