71028400 has 120 divisors (see below), whose sum is σ = 180175968. Its totient is φ = 26880000.

The previous prime is 71028371. The next prime is 71028401. The reversal of 71028400 is 482017.

It is not an unprimeable number, because it can be changed into a prime (71028401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1000365 + ... + 1000435.

Almost surely, 2^71028400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90087984).

71028400 is an abundant number, since it is smaller than the sum of its proper divisors (109147568).

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

71028400 is a wasteful number, since it uses less digits than its factorization.

71028400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 71028400 is about 8427.8348346417. The cubic root of 71028400 is about 414.1369784858.

The spelling of 71028400 in words is "seventy-one million, twenty-eight thousand, four hundred".