228628365000 has 640 divisors, whose sum is σ = 856150944000. Its totient is φ = 50803200000.

The previous prime is 228628364989. The next prime is 228628365029. The reversal of 228628365000 is 563826822.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 190364400 + ... + 190365600.

It is an arithmetic number, because the mean of its divisors is an integer number (1337735850).

Almost surely, 2^228628365000 is an apocalyptic number.

228628365000 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 228628365000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428075472000).

228628365000 is an abundant number, since it is smaller than the sum of its proper divisors (627522579000).

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

228628365000 is a wasteful number, since it uses less digits than its factorization.

228628365000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 228628365000 in words is "two hundred twenty-eight billion, six hundred twenty-eight million, three hundred sixty-five thousand".