1628829000 has 192 divisors, whose sum is σ = 5710199040. Its totient is φ = 434289600.

The previous prime is 1628828959. The next prime is 1628829023. The reversal of 1628829000 is 9288261.

1628829000 is a `hidden beast` number, since 1 + 628 + 8 + 29 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×1628829000² = 5306167822482000000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 239649 + ... + 246351.

It is an arithmetic number, because the mean of its divisors is an integer number (29740620).

Almost surely, 2^1628829000 is an apocalyptic number.

1628829000 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 1628829000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855099520).

1628829000 is an abundant number, since it is smaller than the sum of its proper divisors (4081370040).

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

1628829000 is an equidigital number, since it uses as much as digits as its factorization.

1628829000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6739 (or 6713 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1628829000 is about 40358.7536973083. The cubic root of 1628829000 is about 1176.5900308632.

The spelling of 1628829000 in words is "one billion, six hundred twenty-eight million, eight hundred twenty-nine thousand".