1659241728 has 216 divisors, whose sum is σ = 5213426400. Its totient is φ = 505516032.

The previous prime is 1659241723. The next prime is 1659241807. The reversal of 1659241728 is 8271429561.

1659241728 is a `hidden beast` number, since 16 + 592 + 41 + 7 + 2 + 8 = 666.

It is a super-2 number, since 2×1659241728² = 5506166223872851968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1659241723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1268851 + ... + 1270157.

Almost surely, 2^1659241728 is an apocalyptic number.

1659241728 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 1659241728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606713200).

1659241728 is an abundant number, since it is smaller than the sum of its proper divisors (3554184672).

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

1659241728 is a wasteful number, since it uses less digits than its factorization.

1659241728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1360 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 1659241728 is about 40733.7909848813. The cubic root of 1659241728 is about 1183.8678328243.

The spelling of 1659241728 in words is "one billion, six hundred fifty-nine million, two hundred forty-one thousand, seven hundred twenty-eight".