1628849728 has 84 divisors (see below), whose sum is σ = 3675819420. Its totient is φ = 714757120.

The previous prime is 1628849707. The next prime is 1628849741. The reversal of 1628849728 is 8279488261.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1026049024 + 602800704 = 32032^2 + 24552^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220950 + ... + 228202.

It is an arithmetic number, because the mean of its divisors is an integer number (43759755).

Almost surely, 2^1628849728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1628849728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837909710).

1628849728 is an abundant number, since it is smaller than the sum of its proper divisors (2046969692).

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

1628849728 is a wasteful number, since it uses less digits than its factorization.

1628849728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7316 (or 7295 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 55.

The square root of 1628849728 is about 40359.0104933211. The cubic root of 1628849728 is about 1176.5950218219.

The spelling of 1628849728 in words is "one billion, six hundred twenty-eight million, eight hundred forty-nine thousand, seven hundred twenty-eight".