213094728 has 432 divisors, whose sum is σ = 818953200. Its totient is φ = 49351680.

The previous prime is 213094727. The next prime is 213094759. The reversal of 213094728 is 827490312.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 213094692 and 213094701.

It is not an unprimeable number, because it can be changed into a prime (213094723) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11215503 + ... + 11215521.

It is an arithmetic number, because the mean of its divisors is an integer number (1895725).

Almost surely, 2^213094728 is an apocalyptic number.

213094728 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 213094728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409476600).

213094728 is an abundant number, since it is smaller than the sum of its proper divisors (605858472).

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

213094728 is a wasteful number, since it uses less digits than its factorization.

213094728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 213094728 is about 14597.7644863863. The cubic root of 213094728 is about 597.2977816298.

The spelling of 213094728 in words is "two hundred thirteen million, ninety-four thousand, seven hundred twenty-eight".