393228000 has 384 divisors, whose sum is σ = 1566190080. Its totient is φ = 95040000.

The previous prime is 393227993. The next prime is 393228001. The reversal of 393228000 is 822393.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393228001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1187835 + ... + 1188165.

It is an arithmetic number, because the mean of its divisors is an integer number (4078620).

Almost surely, 2^393228000 is an apocalyptic number.

393228000 is a gapful number since it is divisible by the number (30) 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 393228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783095040).

393228000 is an abundant number, since it is smaller than the sum of its proper divisors (1172962080).

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

393228000 is a wasteful number, since it uses less digits than its factorization.

393228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 393228000 is about 19829.9773070975. The cubic root of 393228000 is about 732.6245677250.

The spelling of 393228000 in words is "three hundred ninety-three million, two hundred twenty-eight thousand".