211727450928 has 160 divisors (see below), whose sum is σ = 632184537600. Its totient is φ = 59810623488.

The previous prime is 211727450927. The next prime is 211727450933. The reversal of 211727450928 is 829054727112.

It is a super-2 number, since 2×211727450928² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (211727450927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15901938 + ... + 15915246.

It is an arithmetic number, because the mean of its divisors is an integer number (3951153360).

Almost surely, 2^211727450928 is an apocalyptic number.

211727450928 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 211727450928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316092268800).

211727450928 is an abundant number, since it is smaller than the sum of its proper divisors (420457086672).

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

211727450928 is a wasteful number, since it uses less digits than its factorization.

211727450928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13859 (or 13853 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 211727450928 in words is "two hundred eleven billion, seven hundred twenty-seven million, four hundred fifty thousand, nine hundred twenty-eight".