801528 has 64 divisors (see below), whose sum is σ = 2472960. Its totient is φ = 210816.

The previous prime is 801517. The next prime is 801539. The reversal of 801528 is 825108.

It is an interprime number because it is at equal distance from previous prime (801517) and next prime (801539).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 801498 and 801507.

It is a congruent number.

It is an unprimeable number.

801528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2001 + ... + 2367.

It is an arithmetic number, because the mean of its divisors is an integer number (38640).

2⁸⁰¹⁵²⁸ 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 801528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236480).

801528 is an abundant number, since it is smaller than the sum of its proper divisors (1671432).

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

801528 is a wasteful number, since it uses less digits than its factorization.

801528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 801528 is about 895.2809614864. The cubic root of 801528 is about 92.8908419811.

The spelling of 801528 in words is "eight hundred one thousand, five hundred twenty-eight".