1628182080 has 224 divisors, whose sum is σ = 6564660480. Its totient is φ = 372142080.

The previous prime is 1628182063. The next prime is 1628182081. The reversal of 1628182080 is 802818261.

1628182080 is a `hidden beast` number, since 1 + 628 + 1 + 8 + 20 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-4 number, since 4×1628182080⁴ (a number of 38 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1628182081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47020 + ... + 73940.

It is an arithmetic number, because the mean of its divisors is an integer number (29306520).

Almost surely, 2^1628182080 is an apocalyptic number.

1628182080 is a gapful number since it is divisible by the number (10) 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 1628182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3282330240).

1628182080 is an abundant number, since it is smaller than the sum of its proper divisors (4936478400).

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

1628182080 is a wasteful number, since it uses less digits than its factorization.

1628182080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26954 (or 26938 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 1628182080 is about 40350.7382832086. The cubic root of 1628182080 is about 1176.4342419673.

The spelling of 1628182080 in words is "one billion, six hundred twenty-eight million, one hundred eighty-two thousand, eighty".