1628036736 has 128 divisors (see below), whose sum is σ = 4576780800. Its totient is φ = 511331328.

The previous prime is 1628036719. The next prime is 1628036759. The reversal of 1628036736 is 6376308261.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×1628036736³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1655701 + ... + 1656683.

It is an arithmetic number, because the mean of its divisors is an integer number (35756100).

Almost surely, 2^1628036736 is an apocalyptic number.

1628036736 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 1628036736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288390400).

1628036736 is an abundant number, since it is smaller than the sum of its proper divisors (2948744064).

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

1628036736 is a wasteful number, since it uses less digits than its factorization.

1628036736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 1628036736 is about 40348.9372350747. The cubic root of 1628036736 is about 1176.3992350827.

The spelling of 1628036736 in words is "one billion, six hundred twenty-eight million, thirty-six thousand, seven hundred thirty-six".