1674328005828 has 192 divisors, whose sum is σ = 4483261440000. Its totient is φ = 540102359808.

The previous prime is 1674328005769. The next prime is 1674328005839. The reversal of 1674328005828 is 8285008234761.

1674328005828 is a `hidden beast` number, since 1 + 67 + 432 + 80 + 0 + 58 + 28 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164645128 + ... + 164655296.

It is an arithmetic number, because the mean of its divisors is an integer number (23350320000).

Almost surely, 2^{1674328005828} is an apocalyptic number.

1674328005828 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 1674328005828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2241630720000).

1674328005828 is an abundant number, since it is smaller than the sum of its proper divisors (2808933434172).

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

1674328005828 is a wasteful number, since it uses less digits than its factorization.

1674328005828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10591 (or 10583 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 1674328005828 in words is "one trillion, six hundred seventy-four billion, three hundred twenty-eight million, five thousand, eight hundred twenty-eight".