228672957408 has 192 divisors, whose sum is σ = 723893345280. Its totient is φ = 61791916032.

The previous prime is 228672957367. The next prime is 228672957451. The reversal of 228672957408 is 804759276822.

It is a super-3 number, since 3×228672957408³ (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 31 ways as a sum of consecutive naturals, for example, 1292466 + ... + 1458702.

It is an arithmetic number, because the mean of its divisors is an integer number (3770277840).

Almost surely, 2^228672957408 is an apocalyptic number.

228672957408 is a gapful number since it is divisible by the number (28) 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 228672957408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361946672640).

228672957408 is an abundant number, since it is smaller than the sum of its proper divisors (495220387872).

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

228672957408 is a wasteful number, since it uses less digits than its factorization.

228672957408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166369 (or 166361 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 228672957408 in words is "two hundred twenty-eight billion, six hundred seventy-two million, nine hundred fifty-seven thousand, four hundred eight".