1612211328 has 360 divisors, whose sum is σ = 5846456655. Its totient is φ = 425198592.

The previous prime is 1612211317. The next prime is 1612211353. The reversal of 1612211328 is 8231122161.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1612211328 is a `hidden beast` number, since 1 + 612 + 2 + 11 + 32 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 28224 + 1612183104 = 168^2 + 40152^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=28392.

It is a super-2 number, since 2×1612211328² = 5198450732263047168, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 124016250 + ... + 124016262.

Almost surely, 2^1612211328 is an apocalyptic number.

1612211328 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 1612211328

1612211328 is an abundant number, since it is smaller than the sum of its proper divisors (4234245327).

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

1612211328 is an frugal number, since it uses more digits than its factorization.

1612211328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 25 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1612211328 is about 40152.3514628969. The cubic root of 1612211328 is about 1172.5750690779.

Multiplying 1612211328 by its product of digits (1152), we get a square (1857267449856 = 1362816²).

1612211328 divided by its product of digits (1152) gives a square (1399489 = 1183²).

Adding to 1612211328 its reverse (8231122161), we get a palindrome (9843333489).

The spelling of 1612211328 in words is "one billion, six hundred twelve million, two hundred eleven thousand, three hundred twenty-eight".