228953088000 has 2016 divisors, whose sum is σ = 1066360295520. Its totient is φ = 48306585600.

The previous prime is 228953087999. The next prime is 228953088029. The reversal of 228953088000 is 880359822.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (2016).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17611775994 + ... + 17611776006.

Almost surely, 2^228953088000 is an apocalyptic number.

228953088000 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 228953088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533180147760).

228953088000 is an abundant number, since it is smaller than the sum of its proper divisors (837407207520).

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

228953088000 is an equidigital number, since it uses as much as digits as its factorization.

228953088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

228953088000 divided by its product of nonzero digits (276480) gives a square (828100 = 910²).

The spelling of 228953088000 in words is "two hundred twenty-eight billion, nine hundred fifty-three million, eighty-eight thousand".