1611064728 has 288 divisors, whose sum is σ = 5672918160. Its totient is φ = 424569600.

The previous prime is 1611064727. The next prime is 1611064733. The reversal of 1611064728 is 8274601161.

It is a happy number.

1611064728 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 0 + 647 + 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 = 1611064692 and 1611064701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1611064727) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1237678 + ... + 1238978.

Almost surely, 2^1611064728 is an apocalyptic number.

1611064728 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 1611064728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2836459080).

1611064728 is an abundant number, since it is smaller than the sum of its proper divisors (4061853432).

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

1611064728 is a wasteful number, since it uses less digits than its factorization.

1611064728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1326 counting only the distinct ones).

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

The square root of 1611064728 is about 40138.0708056578. The cubic root of 1611064728 is about 1172.2970258285.

Adding to 1611064728 its reverse (8274601161), we get a palindrome (9885665889).

The spelling of 1611064728 in words is "one billion, six hundred eleven million, sixty-four thousand, seven hundred twenty-eight".