217048728000 has 672 divisors, whose sum is σ = 790089880320. Its totient is φ = 52463923200.

The previous prime is 217048727981. The next prime is 217048728049. The reversal of 217048728000 is 827840712.

It is a super-2 number, since 2×217048728000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 217048728000.

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, 239303547 + ... + 239304453.

Almost surely, 2^217048728000 is an apocalyptic number.

217048728000 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 217048728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395044940160).

217048728000 is an abundant number, since it is smaller than the sum of its proper divisors (573041152320).

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

217048728000 is a wasteful number, since it uses less digits than its factorization.

217048728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The spelling of 217048728000 in words is "two hundred seventeen billion, forty-eight million, seven hundred twenty-eight thousand".