1902313728 has 144 divisors (see below), whose sum is σ = 6429279360. Its totient is φ = 543504384.

The previous prime is 1902313727. The next prime is 1902313733. The reversal of 1902313728 is 8273132091.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 1902313692 and 1902313701.

It is not an unprimeable number, because it can be changed into a prime (1902313727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28726 + ... + 68042.

Almost surely, 2^1902313728 is an apocalyptic number.

1902313728 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 1902313728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214639680).

1902313728 is an abundant number, since it is smaller than the sum of its proper divisors (4526965632).

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

1902313728 is an equidigital number, since it uses as much as digits as its factorization.

1902313728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39349 (or 39329 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1902313728 is about 43615.5216408104. The cubic root of 1902313728 is about 1239.0648794359.

The spelling of 1902313728 in words is "one billion, nine hundred two million, three hundred thirteen thousand, seven hundred twenty-eight".