1628298432 has 168 divisors, whose sum is σ = 4928433120. Its totient is φ = 512962560.

The previous prime is 1628298421. The next prime is 1628298433. The reversal of 1628298432 is 2348928261.

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

It is not an unprimeable number, because it can be changed into a prime (1628298433) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1178382 + ... + 1179762.

Almost surely, 2^1628298432 is an apocalyptic number.

1628298432 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 1628298432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2464216560).

1628298432 is an abundant number, since it is smaller than the sum of its proper divisors (3300134688).

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

1628298432 is a wasteful number, since it uses less digits than its factorization.

1628298432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1498 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1628298432 is about 40352.1800154589. The cubic root of 1628298432 is about 1176.4622644713.

The spelling of 1628298432 in words is "one billion, six hundred twenty-eight million, two hundred ninety-eight thousand, four hundred thirty-two".