1628434040 has 64 divisors (see below), whose sum is σ = 3886090560. Its totient is φ = 612817920.

The previous prime is 1628434039. The next prime is 1628434057. The reversal of 1628434040 is 404348261.

It is a junction number, because it is equal to n+sod(n) for n = 1628433988 and 1628434006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41612 + ... + 70628.

It is an arithmetic number, because the mean of its divisors is an integer number (60720165).

Almost surely, 2^1628434040 is an apocalyptic number.

1628434040 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 1628434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943045280).

1628434040 is an abundant number, since it is smaller than the sum of its proper divisors (2257656520).

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

1628434040 is a wasteful number, since it uses less digits than its factorization.

1628434040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29112 (or 29108 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 1628434040 is about 40353.8602862229. The cubic root of 1628434040 is about 1176.4949229535.

The spelling of 1628434040 in words is "one billion, six hundred twenty-eight million, four hundred thirty-four thousand, forty".