1628634000 has 320 divisors, whose sum is σ = 6356593152. Its totient is φ = 350208000.

The previous prime is 1628633999. The next prime is 1628634019. The reversal of 1628634000 is 4368261.

1628634000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 712860 + ... + 715140.

Almost surely, 2^1628634000 is an apocalyptic number.

1628634000 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 1628634000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3178296576).

1628634000 is an abundant number, since it is smaller than the sum of its proper divisors (4727959152).

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

1628634000 is a wasteful number, since it uses less digits than its factorization.

1628634000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2315 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1628634000 is about 40356.3377922229. The cubic root of 1628634000 is about 1176.5430760238.

It can be divided in two parts, 1628 and 634000, that added together give a triangular number (635628 = T₁₁₂₇).

The spelling of 1628634000 in words is "one billion, six hundred twenty-eight million, six hundred thirty-four thousand".