1061641728 has 480 divisors, whose sum is σ = 3860752896. Its totient is φ = 284663808.

The previous prime is 1061641727. The next prime is 1061641747. The reversal of 1061641728 is 8271461601.

It is a happy number.

1061641728 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 641 + 7 + 2 + 8 = 666.

1061641728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1061641728² = 2254166317261651968, which contains 22 as substring.

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 = 1061641692 and 1061641701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1061641727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20030950 + ... + 20031002.

Almost surely, 2^1061641728 is an apocalyptic number.

1061641728 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 1061641728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1930376448).

1061641728 is an abundant number, since it is smaller than the sum of its proper divisors (2799111168).

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

1061641728 is an frugal number, since it uses more digits than its factorization.

1061641728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 88 counting only the distinct ones).

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

The square root of 1061641728 is about 32582.8440747581. The cubic root of 1061641728 is about 1020.1389430102.

The spelling of 1061641728 in words is "one billion, sixty-one million, six hundred forty-one thousand, seven hundred twenty-eight".