73028268 has 36 divisors (see below), whose sum is σ = 184897440. Its totient is φ = 24303456.

The previous prime is 73028231. The next prime is 73028299. The reversal of 73028268 is 86282037.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×73028268³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28621 + ... + 31067.

It is an arithmetic number, because the mean of its divisors is an integer number (5136040).

Almost surely, 2^73028268 is an apocalyptic number.

It is an amenable number.

73028268 is an abundant number, since it is smaller than the sum of its proper divisors (111869172).

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

73028268 is a wasteful number, since it uses less digits than its factorization.

73028268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286 (or 3281 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 73028268 is about 8545.6578447771. The cubic root of 73028268 is about 417.9878585944.

The spelling of 73028268 in words is "seventy-three million, twenty-eight thousand, two hundred sixty-eight".