1628879616 has 432 divisors, whose sum is σ = 6133667904. Its totient is φ = 403439616.

The previous prime is 1628879543. The next prime is 1628879641. The reversal of 1628879616 is 6169788261.

1628879616 is a `hidden beast` number, since 1 + 628 + 8 + 7 + 9 + 6 + 1 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 3564060 + ... + 3564516.

Almost surely, 2^1628879616 is an apocalyptic number.

1628879616 is a gapful number since it is divisible by the number (16) 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 1628879616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066833952).

1628879616 is an abundant number, since it is smaller than the sum of its proper divisors (4504788288).

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

1628879616 is a wasteful number, since it uses less digits than its factorization.

1628879616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 499 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 1628879616 is about 40359.3807682923. The cubic root of 1628879616 is about 1176.6022182821.

The spelling of 1628879616 in words is "one billion, six hundred twenty-eight million, eight hundred seventy-nine thousand, six hundred sixteen".