228837734400 has 1152 divisors, whose sum is σ = 905522042880. Its totient is φ = 50331648000.

The previous prime is 228837734381. The next prime is 228837734401. The reversal of 228837734400 is 4437738822.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 228837734400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228837734401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 890419072 + ... + 890419328.

It is an arithmetic number, because the mean of its divisors is an integer number (786043440).

Almost surely, 2^228837734400 is an apocalyptic number.

228837734400 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 228837734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452761021440).

228837734400 is an abundant number, since it is smaller than the sum of its proper divisors (676684308480).

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

228837734400 is a wasteful number, since it uses less digits than its factorization.

228837734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 228837734400 in words is "two hundred twenty-eight billion, eight hundred thirty-seven million, seven hundred thirty-four thousand, four hundred".