1065961728 has 144 divisors (see below), whose sum is σ = 3395002240. Its totient is φ = 327960576.

The previous prime is 1065961723. The next prime is 1065961733. The reversal of 1065961728 is 8271695601.

1065961728 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 9 + 617 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (1065961723) and next prime (1065961733).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1065961728² = 2272548811121491968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1065961723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83925 + ... + 95787.

Almost surely, 2^1065961728 is an apocalyptic number.

1065961728 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 1065961728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697501120).

1065961728 is an abundant number, since it is smaller than the sum of its proper divisors (2329040512).

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

1065961728 is a wasteful number, since it uses less digits than its factorization.

1065961728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11901 (or 11881 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1065961728 is about 32649.0693282366. The cubic root of 1065961728 is about 1021.5207764431.

The spelling of 1065961728 in words is "one billion, sixty-five million, nine hundred sixty-one thousand, seven hundred twenty-eight".