1671998328 has 768 divisors, whose sum is σ = 6792576000. Its totient is φ = 369515520.

The previous prime is 1671998303. The next prime is 1671998357. The reversal of 1671998328 is 8238991761.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45189126 + ... + 45189162.

It is an arithmetic number, because the mean of its divisors is an integer number (8844500).

Almost surely, 2^1671998328 is an apocalyptic number.

1671998328 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 1671998328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396288000).

1671998328 is an abundant number, since it is smaller than the sum of its proper divisors (5120577672).

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

1671998328 is a wasteful number, since it uses less digits than its factorization.

1671998328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 92 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 54.

The square root of 1671998328 is about 40890.0761554683. The cubic root of 1671998328 is about 1186.8940324484.

It can be divided in two parts, 1671 and 998328, that added together give a palindrome (999999).

The spelling of 1671998328 in words is "one billion, six hundred seventy-one million, nine hundred ninety-eight thousand, three hundred twenty-eight".