211004928 has 120 divisors (see below), whose sum is σ = 630372600. Its totient is φ = 67866624.

The previous prime is 211004923. The next prime is 211004933. The reversal of 211004928 is 829400112.

It is an interprime number because it is at equal distance from previous prime (211004923) and next prime (211004933).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211004923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132843 + ... + 134421.

It is an arithmetic number, because the mean of its divisors is an integer number (5253105).

Almost surely, 2^211004928 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 211004928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315186300).

211004928 is an abundant number, since it is smaller than the sum of its proper divisors (419367672).

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

211004928 is a wasteful number, since it uses less digits than its factorization.

211004928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1613 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 211004928 is about 14526.0086740990. The cubic root of 211004928 is about 595.3388160438.

The spelling of 211004928 in words is "two hundred eleven million, four thousand, nine hundred twenty-eight".