228620582400 has 960 divisors, whose sum is σ = 893947355136. Its totient is φ = 50429952000.

The previous prime is 228620582371. The next prime is 228620582419. The reversal of 228620582400 is 4285026822.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×228620582400³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1196966305 + ... + 1196966495.

Almost surely, 2^228620582400 is an apocalyptic number.

228620582400 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 228620582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446973677568).

228620582400 is an abundant number, since it is smaller than the sum of its proper divisors (665326772736).

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

228620582400 is a wasteful number, since it uses less digits than its factorization.

228620582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 228620582400 in words is "two hundred twenty-eight billion, six hundred twenty million, five hundred eighty-two thousand, four hundred".