828611040 has 48 divisors (see below), whose sum is σ = 2610126288. Its totient is φ = 220962816.

The previous prime is 828611029. The next prime is 828611053. The reversal of 828611040 is 40116828.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 828610989 and 828611007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 862657 + ... + 863616.

It is an arithmetic number, because the mean of its divisors is an integer number (54377631).

Almost surely, 2^828611040 is an apocalyptic number.

828611040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

828611040 is an abundant number, since it is smaller than the sum of its proper divisors (1781515248).

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

828611040 is a wasteful number, since it uses less digits than its factorization.

828611040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726291 (or 1726283 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 828611040 is about 28785.6047357008. The cubic root of 828611040 is about 939.2551213795.

Adding to 828611040 its reverse (40116828), we get a palindrome (868727868).

The spelling of 828611040 in words is "eight hundred twenty-eight million, six hundred eleven thousand, forty".