228062822400 has 960 divisors, whose sum is σ = 967554545760. Its totient is φ = 52022476800.

The previous prime is 228062822389. The next prime is 228062822443. The reversal of 228062822400 is 4228260822.

228062822400 is a `hidden beast` number, since 2 + 2 + 8 + 0 + 628 + 2 + 24 + 0 + 0 = 666.

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

It is a super-2 number, since 2×228062822400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 464486155 + ... + 464486645.

Almost surely, 2^228062822400 is an apocalyptic number.

228062822400 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 228062822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483777272880).

228062822400 is an abundant number, since it is smaller than the sum of its proper divisors (739491723360).

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

228062822400 is an frugal number, since it uses more digits than its factorization.

228062822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 228062822400 in words is "two hundred twenty-eight billion, sixty-two million, eight hundred twenty-two thousand, four hundred".