828244352 has 256 divisors, whose sum is σ = 2097446400. Its totient is φ = 321159168.

The previous prime is 828244337. The next prime is 828244367. The reversal of 828244352 is 253442828.

It is an interprime number because it is at equal distance from previous prime (828244337) and next prime (828244367).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12361823 + ... + 12361889.

It is an arithmetic number, because the mean of its divisors is an integer number (8193150).

Almost surely, 2^828244352 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 828244352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048723200).

828244352 is an abundant number, since it is smaller than the sum of its proper divisors (1269202048).

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

828244352 is a wasteful number, since it uses less digits than its factorization.

828244352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its digits is 122880, while the sum is 38.

The square root of 828244352 is about 28779.2347361774. The cubic root of 828244352 is about 939.1165503723.

The spelling of 828244352 in words is "eight hundred twenty-eight million, two hundred forty-four thousand, three hundred fifty-two".