828906528 has 96 divisors (see below), whose sum is σ = 2247448896. Its totient is φ = 267337728.

The previous prime is 828906511. The next prime is 828906539. The reversal of 828906528 is 825609828.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×828906528² = 1374172064322029568, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 465576 + ... + 467352.

It is an arithmetic number, because the mean of its divisors is an integer number (23410926).

Almost surely, 2^828906528 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 828906528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123724448).

828906528 is an abundant number, since it is smaller than the sum of its proper divisors (1418542368).

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

828906528 is a wasteful number, since it uses less digits than its factorization.

828906528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 828906528 is about 28790.7368436447. The cubic root of 828906528 is about 939.3667562398.

The spelling of 828906528 in words is "eight hundred twenty-eight million, nine hundred six thousand, five hundred twenty-eight".