1628213976 has 96 divisors (see below), whose sum is σ = 4713901920. Its totient is φ = 506457600.

The previous prime is 1628213957. The next prime is 1628214001. The reversal of 1628213976 is 6793128261.

1628213976 is a `hidden beast` number, since 1 + 628 + 2 + 13 + 9 + 7 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55906 + ... + 79886.

It is an arithmetic number, because the mean of its divisors is an integer number (49103145).

Almost surely, 2^1628213976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1628213976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356950960).

1628213976 is an abundant number, since it is smaller than the sum of its proper divisors (3085687944).

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

1628213976 is a wasteful number, since it uses less digits than its factorization.

1628213976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24057 (or 24050 counting only the distinct ones).

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

The square root of 1628213976 is about 40351.1335156771. The cubic root of 1628213976 is about 1176.4419240118.

The spelling of 1628213976 in words is "one billion, six hundred twenty-eight million, two hundred thirteen thousand, nine hundred seventy-six".