228135398400 has 2376 divisors, whose sum is σ = 1082111407104. Its totient is φ = 46581350400.

The previous prime is 228135398371. The next prime is 228135398417. The reversal of 228135398400 is 4893531822.

228135398400 is a `hidden beast` number, since 2 + 28 + 13 + 539 + 84 + 0 + 0 = 666.

228135398400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 7359206385 + ... + 7359206415.

Almost surely, 2^228135398400 is an apocalyptic number.

228135398400 is a gapful number since it is divisible by the number (20) 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 228135398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541055703552).

228135398400 is an abundant number, since it is smaller than the sum of its proper divisors (853976008704).

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

228135398400 is a wasteful number, since it uses less digits than its factorization.

228135398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 228135398400 in words is "two hundred twenty-eight billion, one hundred thirty-five million, three hundred ninety-eight thousand, four hundred".