228783429504 has 640 divisors, whose sum is σ = 816823180800. Its totient is φ = 62183116800.

The previous prime is 228783429461. The next prime is 228783429547. The reversal of 228783429504 is 405924387822.

228783429504 is a `hidden beast` number, since 2 + 2 + 87 + 8 + 34 + 29 + 504 = 666.

228783429504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (228783429461) and next prime (228783429547).

It is a super-2 number, since 2×228783429504² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 149433219 + ... + 149434749.

It is an arithmetic number, because the mean of its divisors is an integer number (1276286220).

Almost surely, 2^228783429504 is an apocalyptic number.

228783429504 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 228783429504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408411590400).

228783429504 is an abundant number, since it is smaller than the sum of its proper divisors (588039751296).

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

228783429504 is a wasteful number, since it uses less digits than its factorization.

228783429504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 228783429504 in words is "two hundred twenty-eight billion, seven hundred eighty-three million, four hundred twenty-nine thousand, five hundred four".