1628006640 has 320 divisors, whose sum is σ = 5924620800. Its totient is φ = 366170112.

The previous prime is 1628006629. The next prime is 1628006687. The reversal of 1628006640 is 466008261.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1718647 + ... + 1719593.

It is an arithmetic number, because the mean of its divisors is an integer number (18514440).

Almost surely, 2^1628006640 is an apocalyptic number.

1628006640 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 1628006640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962310400).

1628006640 is an abundant number, since it is smaller than the sum of its proper divisors (4296614160).

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

1628006640 is a wasteful number, since it uses less digits than its factorization.

1628006640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1628006640 is about 40348.5642867252. The cubic root of 1628006640 is about 1176.3919860388.

The spelling of 1628006640 in words is "one billion, six hundred twenty-eight million, six thousand, six hundred forty".