228578896676400 has 360 divisors, whose sum is σ = 750165151531536. Its totient is φ = 59495014656000.

The previous prime is 228578896676399. The next prime is 228578896676411. The reversal of 228578896676400 is 4676698875822.

It is a super-4 number, since 4×228578896676400⁴ (a number of 59 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3223880950 + ... + 3223951850.

Almost surely, 2^{228578896676400} is an apocalyptic number.

228578896676400 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 228578896676400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375082575765768).

228578896676400 is an abundant number, since it is smaller than the sum of its proper divisors (521586254855136).

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

228578896676400 is a wasteful number, since it uses less digits than its factorization.

228578896676400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72461 (or 72407 counting only the distinct ones).

The product of its (nonzero) digits is 3901685760, while the sum is 78.

The spelling of 228578896676400 in words is "two hundred twenty-eight trillion, five hundred seventy-eight billion, eight hundred ninety-six million, six hundred seventy-six thousand, four hundred".