211038828 has 96 divisors (see below), whose sum is σ = 661194240. Its totient is φ = 50595840.

The previous prime is 211038769. The next prime is 211038851. The reversal of 211038828 is 828830112.

It is a super-2 number, since 2×211038828² = 89074773847227168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3228 + ... + 20796.

It is an arithmetic number, because the mean of its divisors is an integer number (6887440).

Almost surely, 2^211038828 is an apocalyptic number.

211038828 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 211038828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330597120).

211038828 is an abundant number, since it is smaller than the sum of its proper divisors (450155412).

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

211038828 is a wasteful number, since it uses less digits than its factorization.

211038828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17607 (or 17605 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 211038828 is about 14527.1754997315. The cubic root of 211038828 is about 595.3706966659.

The spelling of 211038828 in words is "two hundred eleven million, thirty-eight thousand, eight hundred twenty-eight".