1628784234 has 256 divisors, whose sum is σ = 4852224000. Its totient is φ = 392221440.

The previous prime is 1628784211. The next prime is 1628784239. The reversal of 1628784234 is 4324878261.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1628784234.

It is not an unprimeable number, because it can be changed into a prime (1628784239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4186912 + ... + 4187300.

It is an arithmetic number, because the mean of its divisors is an integer number (18954000).

Almost surely, 2^1628784234 is an apocalyptic number.

1628784234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1628784234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426112000).

1628784234 is an abundant number, since it is smaller than the sum of its proper divisors (3223439766).

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

1628784234 is a wasteful number, since it uses less digits than its factorization.

1628784234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 484 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 1628784234 is about 40358.1990926255. The cubic root of 1628784234 is about 1176.5792518083.

The spelling of 1628784234 in words is "one billion, six hundred twenty-eight million, seven hundred eighty-four thousand, two hundred thirty-four".