1628123472 has 120 divisors (see below), whose sum is σ = 4750473728. Its totient is φ = 519955200.

The previous prime is 1628123429. The next prime is 1628123479. The reversal of 1628123472 is 2743218261.

It is a happy number.

1628123472 is a `hidden beast` number, since 1 + 62 + 8 + 123 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1628123479) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 458022 + ... + 461562.

Almost surely, 2^1628123472 is an apocalyptic number.

1628123472 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 1628123472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375236864).

1628123472 is an abundant number, since it is smaller than the sum of its proper divisors (3122350256).

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

1628123472 is a wasteful number, since it uses less digits than its factorization.

1628123472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3689 (or 3680 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 1628123472 is about 40350.0120446079. The cubic root of 1628123472 is about 1176.4201261658.

The spelling of 1628123472 in words is "one billion, six hundred twenty-eight million, one hundred twenty-three thousand, four hundred seventy-two".