228724070784 has 128 divisors (see below), whose sum is σ = 666252380160. Its totient is φ = 68947200000.

The previous prime is 228724070779. The next prime is 228724070789. The reversal of 228724070784 is 487070427822.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (228724070779) and next prime (228724070789).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×228724070784³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228724070789) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 665034 + ... + 948534.

It is an arithmetic number, because the mean of its divisors is an integer number (5205096720).

Almost surely, 2^228724070784 is an apocalyptic number.

228724070784 is a gapful number since it is divisible by the number (24) 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 228724070784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333126190080).

228724070784 is an abundant number, since it is smaller than the sum of its proper divisors (437528309376).

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

228724070784 is a wasteful number, since it uses less digits than its factorization.

228724070784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283720 (or 283708 counting only the distinct ones).

The product of its (nonzero) digits is 2809856, while the sum is 51.

The spelling of 228724070784 in words is "two hundred twenty-eight billion, seven hundred twenty-four million, seventy thousand, seven hundred eighty-four".