191228400 has 270 divisors, whose sum is σ = 731090360. Its totient is φ = 46252800.

The previous prime is 191228377. The next prime is 191228423. The reversal of 191228400 is 4822191.

It is an interprime number because it is at equal distance from previous prime (191228377) and next prime (191228423).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 435381 + ... + 435819.

Almost surely, 2^191228400 is an apocalyptic number.

191228400 is a gapful number since it is divisible by the number (10) 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 191228400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365545180).

191228400 is an abundant number, since it is smaller than the sum of its proper divisors (539861960).

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

191228400 is a wasteful number, since it uses less digits than its factorization.

191228400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 460 counting only the distinct ones).

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

The square root of 191228400 is about 13828.5357142396. The cubic root of 191228400 is about 576.1259851735.

The spelling of 191228400 in words is "one hundred ninety-one million, two hundred twenty-eight thousand, four hundred".