1628679312 has 280 divisors, whose sum is σ = 5328033984. Its totient is φ = 478317312.

The previous prime is 1628679301. The next prime is 1628679313. The reversal of 1628679312 is 2139768261.

1628679312 is a `hidden beast` number, since 1 + 628 + 6 + 7 + 9 + 3 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (1628679313) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3487303 + ... + 3487769.

Almost surely, 2^1628679312 is an apocalyptic number.

1628679312 is a gapful number since it is divisible by the number (12) 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 1628679312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664016992).

1628679312 is an abundant number, since it is smaller than the sum of its proper divisors (3699354672).

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

1628679312 is a wasteful number, since it uses less digits than its factorization.

1628679312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 508 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 1628679312 is about 40356.8991871278. The cubic root of 1628679312 is about 1176.5539872180.

The spelling of 1628679312 in words is "one billion, six hundred twenty-eight million, six hundred seventy-nine thousand, three hundred twelve".