1628886336 has 224 divisors, whose sum is σ = 5407395840. Its totient is φ = 420403200.

The previous prime is 1628886317. The next prime is 1628886341. The reversal of 1628886336 is 6336888261.

It is a tau number, because it is divible by the number of its divisors (224).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3533146 + ... + 3533606.

It is an arithmetic number, because the mean of its divisors is an integer number (24140160).

Almost surely, 2^1628886336 is an apocalyptic number.

1628886336 is a gapful number since it is divisible by the number (16) 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 1628886336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703697920).

1628886336 is an abundant number, since it is smaller than the sum of its proper divisors (3778509504).

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

1628886336 is a wasteful number, since it uses less digits than its factorization.

1628886336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 723 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The square root of 1628886336 is about 40359.4640202270. The cubic root of 1628886336 is about 1176.6038363178.

The spelling of 1628886336 in words is "one billion, six hundred twenty-eight million, eight hundred eighty-six thousand, three hundred thirty-six".