1628726640 has 160 divisors (see below), whose sum is σ = 5225665536. Its totient is φ = 419358720.

The previous prime is 1628726629. The next prime is 1628726641. The reversal of 1628726640 is 466278261.

It is a junction number, because it is equal to n+sod(n) for n = 1628726592 and 1628726601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1628726641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1012717 + ... + 1014323.

Almost surely, 2^1628726640 is an apocalyptic number.

1628726640 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 1628726640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2612832768).

1628726640 is an abundant number, since it is smaller than the sum of its proper divisors (3596938896).

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

1628726640 is a wasteful number, since it uses less digits than its factorization.

1628726640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 1628726640 is about 40357.4855510102. The cubic root of 1628726640 is about 1176.5653836517.

The spelling of 1628726640 in words is "one billion, six hundred twenty-eight million, seven hundred twenty-six thousand, six hundred forty".