1602729828 has 144 divisors (see below), whose sum is σ = 4894612800. Its totient is φ = 457800336.

The previous prime is 1602729823. The next prime is 1602729833. The reversal of 1602729828 is 8289272061.

It is an interprime number because it is at equal distance from previous prime (1602729823) and next prime (1602729833).

It is not an unprimeable number, because it can be changed into a prime (1602729823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 426783 + ... + 430521.

Almost surely, 2^1602729828 is an apocalyptic number.

1602729828 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 1602729828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447306400).

1602729828 is an abundant number, since it is smaller than the sum of its proper divisors (3291882972).

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

1602729828 is an equidigital number, since it uses as much as digits as its factorization.

1602729828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3778 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1602729828 is about 40034.1083077917. The cubic root of 1602729828 is about 1170.2718894750.

The spelling of 1602729828 in words is "one billion, six hundred two million, seven hundred twenty-nine thousand, eight hundred twenty-eight".