1628816640 has 144 divisors (see below), whose sum is σ = 5675092416. Its totient is φ = 394854400.

The previous prime is 1628816633. The next prime is 1628816659. The reversal of 1628816640 is 466188261.

It is a junction number, because it is equal to n+sod(n) for n = 1628816592 and 1628816601.

It is a congruent number.

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, 22960 + ... + 61520.

It is an arithmetic number, because the mean of its divisors is an integer number (39410364).

Almost surely, 2^1628816640 is an apocalyptic number.

1628816640 is a gapful number since it is divisible by the number (10) 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 1628816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837546208).

1628816640 is an abundant number, since it is smaller than the sum of its proper divisors (4046275776).

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

1628816640 is a wasteful number, since it uses less digits than its factorization.

1628816640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38596 (or 38582 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 1628816640 is about 40358.6005703865. The cubic root of 1628816640 is about 1176.5870547600.

The spelling of 1628816640 in words is "one billion, six hundred twenty-eight million, eight hundred sixteen thousand, six hundred forty".