213851960028 has 288 divisors, whose sum is σ = 659963404800. Its totient is φ = 58645472256.

The previous prime is 213851960009. The next prime is 213851960059. The reversal of 213851960028 is 820069158312.

213851960028 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 5 + 19 + 600 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82471500 + ... + 82474092.

It is an arithmetic number, because the mean of its divisors is an integer number (2291539600).

Almost surely, 2^213851960028 is an apocalyptic number.

213851960028 is a gapful number since it is divisible by the number (28) 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 213851960028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329981702400).

213851960028 is an abundant number, since it is smaller than the sum of its proper divisors (446111444772).

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

213851960028 is a wasteful number, since it uses less digits than its factorization.

213851960028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 213851960028 in words is "two hundred thirteen billion, eight hundred fifty-one million, nine hundred sixty thousand, twenty-eight".