75509028 has 72 divisors (see below), whose sum is σ = 219710400. Its totient is φ = 21418560.

The previous prime is 75509017. The next prime is 75509041. The reversal of 75509028 is 82090557.

It is a super-2 number, since 2×75509028² = 11403226619009568, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 75508983 and 75509001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36543 + ... + 38553.

Almost surely, 2^75509028 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 75509028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109855200).

75509028 is an abundant number, since it is smaller than the sum of its proper divisors (144201372).

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

75509028 is a wasteful number, since it uses less digits than its factorization.

75509028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2177 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 75509028 is about 8689.5930859851. The cubic root of 75509028 is about 422.6682508584.

The spelling of 75509028 in words is "seventy-five million, five hundred nine thousand, twenty-eight".