1802129328 has 90 divisors (see below), whose sum is σ = 5323028724. Its totient is φ = 569077056.

The previous prime is 1802129297. The next prime is 1802129333. The reversal of 1802129328 is 8239212081.

It is a super-2 number, since 2×1802129328² = 6495340229675463168, 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 = 1802129292 and 1802129301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34651 + ... + 69317.

Almost surely, 2^1802129328 is an apocalyptic number.

1802129328 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 1802129328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661514362).

1802129328 is an abundant number, since it is smaller than the sum of its proper divisors (3520899396).

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

1802129328 is a wasteful number, since it uses less digits than its factorization.

1802129328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34719 (or 34691 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1802129328 is about 42451.4938253061. The cubic root of 1802129328 is about 1216.9198768749.

The spelling of 1802129328 in words is "one billion, eight hundred two million, one hundred twenty-nine thousand, three hundred twenty-eight".