1628883000 has 512 divisors, whose sum is σ = 6128179200. Its totient is φ = 399168000.

The previous prime is 1628882993. The next prime is 1628883013. The reversal of 1628883000 is 3888261.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26702970 + ... + 26703030.

It is an arithmetic number, because the mean of its divisors is an integer number (11969100).

Almost surely, 2^1628883000 is an apocalyptic number.

1628883000 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 1628883000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3064089600).

1628883000 is an abundant number, since it is smaller than the sum of its proper divisors (4499296200).

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

1628883000 is a wasteful number, since it uses less digits than its factorization.

1628883000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1628883000 is about 40359.4226916095. The cubic root of 1628883000 is about 1176.6030330792.

The spelling of 1628883000 in words is "one billion, six hundred twenty-eight million, eight hundred eighty-three thousand".