1628725752 has 128 divisors (see below), whose sum is σ = 4808160000. Its totient is φ = 509390208.

The previous prime is 1628725741. The next prime is 1628725807. The reversal of 1628725752 is 2575278261.

1628725752 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 72 + 575 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1628725698 and 1628725707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437274 + ... + 440982.

It is an arithmetic number, because the mean of its divisors is an integer number (37563750).

Almost surely, 2^1628725752 is an apocalyptic number.

1628725752 is a gapful number since it is divisible by the number (12) 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 1628725752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404080000).

1628725752 is an abundant number, since it is smaller than the sum of its proper divisors (3179434248).

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

1628725752 is a wasteful number, since it uses less digits than its factorization.

1628725752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3850 (or 3840 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 1628725752 is about 40357.4745493322. The cubic root of 1628725752 is about 1176.5651698262.

The spelling of 1628725752 in words is "one billion, six hundred twenty-eight million, seven hundred twenty-five thousand, seven hundred fifty-two".