207228284928 has 624 divisors, whose sum is σ = 725106636800. Its totient is φ = 59110539264.

The previous prime is 207228284927. The next prime is 207228284929. The reversal of 207228284928 is 829482822702.

207228284928 is a `hidden beast` number, since 2 + 0 + 72 + 2 + 82 + 8 + 492 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (207228284927) and next prime (207228284929).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207228284927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341397201 + ... + 341397807.

Almost surely, 2^207228284928 is an apocalyptic number.

207228284928 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 207228284928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362553318400).

207228284928 is an abundant number, since it is smaller than the sum of its proper divisors (517878351872).

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

207228284928 is an frugal number, since it uses more digits than its factorization.

207228284928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 207228284928 in words is "two hundred seven billion, two hundred twenty-eight million, two hundred eighty-four thousand, nine hundred twenty-eight".