1641623328 has 96 divisors (see below), whose sum is σ = 4799995200. Its totient is φ = 545845248.

The previous prime is 1641623303. The next prime is 1641623371. The reversal of 1641623328 is 8233261461.

1641623328 is a `hidden beast` number, since 1 + 6 + 4 + 1 + 623 + 3 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×1641623328³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1641623292 and 1641623301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380608 + ... + 384896.

It is an arithmetic number, because the mean of its divisors is an integer number (49999950).

Almost surely, 2^1641623328 is an apocalyptic number.

1641623328 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 1641623328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399997600).

1641623328 is an abundant number, since it is smaller than the sum of its proper divisors (3158371872).

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

1641623328 is a wasteful number, since it uses less digits than its factorization.

1641623328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4751 (or 4737 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 1641623328 is about 40516.9511192538. The cubic root of 1641623328 is about 1179.6626748128.

Adding to 1641623328 its reverse (8233261461), we get a palindrome (9874884789).

The spelling of 1641623328 in words is "one billion, six hundred forty-one million, six hundred twenty-three thousand, three hundred twenty-eight".