1628553216 has 120 divisors (see below), whose sum is σ = 4600486800. Its totient is φ = 510656512.

The previous prime is 1628553211. The next prime is 1628553217. The reversal of 1628553216 is 6123558261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1628553211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 834610 + ... + 836558.

It is an arithmetic number, because the mean of its divisors is an integer number (38337390).

Almost surely, 2^1628553216 is an apocalyptic number.

1628553216 is a gapful number since it is divisible by the number (16) 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 1628553216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2300243400).

1628553216 is an abundant number, since it is smaller than the sum of its proper divisors (2971933584).

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

1628553216 is an equidigital number, since it uses as much as digits as its factorization.

1628553216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1971 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 1628553216 is about 40355.3368961281. The cubic root of 1628553216 is about 1176.5236226194.

The spelling of 1628553216 in words is "one billion, six hundred twenty-eight million, five hundred fifty-three thousand, two hundred sixteen".