1628378880 has 288 divisors, whose sum is σ = 5448846144. Its totient is φ = 414056448.

The previous prime is 1628378879. The next prime is 1628378891. The reversal of 1628378880 is 888738261.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 10371762 + ... + 10371918.

Almost surely, 2^1628378880 is an apocalyptic number.

1628378880 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 1628378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724423072).

1628378880 is an abundant number, since it is smaller than the sum of its proper divisors (3820467264).

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

1628378880 is a wasteful number, since it uses less digits than its factorization.

1628378880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 51.

The square root of 1628378880 is about 40353.1768266143. The cubic root of 1628378880 is about 1176.4816389864.

The spelling of 1628378880 in words is "one billion, six hundred twenty-eight million, three hundred seventy-eight thousand, eight hundred eighty".