1628727744 has 112 divisors (see below), whose sum is σ = 4937760000. Its totient is φ = 464142336.

The previous prime is 1628727701. The next prime is 1628727757. The reversal of 1628727744 is 4477278261.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1628727693 and 1628727702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 602107 + ... + 604805.

Almost surely, 2^1628727744 is an apocalyptic number.

1628727744 is a gapful number since it is divisible by the number (14) 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 1628727744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468880000).

1628727744 is an abundant number, since it is smaller than the sum of its proper divisors (3309032256).

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

1628727744 is a wasteful number, since it uses less digits than its factorization.

1628727744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170 (or 3160 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 48.

The square root of 1628727744 is about 40357.4992287679. The cubic root of 1628727744 is about 1176.5656494888.

The spelling of 1628727744 in words is "one billion, six hundred twenty-eight million, seven hundred twenty-seven thousand, seven hundred forty-four".