828891840 has 336 divisors, whose sum is σ = 3118908672. Its totient is φ = 185923584.

The previous prime is 828891829. The next prime is 828891863. The reversal of 828891840 is 48198828.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a self number, because there is not a number n which added to its sum of digits gives 828891840.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3151549 + ... + 3151811.

Almost surely, 2^828891840 is an apocalyptic number.

828891840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828891840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559454336).

828891840 is an abundant number, since it is smaller than the sum of its proper divisors (2290016832).

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

828891840 is a wasteful number, since it uses less digits than its factorization.

828891840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 48.

The square root of 828891840 is about 28790.4817604708. The cubic root of 828891840 is about 939.3612077652.

It can be divided in two parts, 8288 and 91840, that added together give a triangular number (100128 = T₄₄₇).

The spelling of 828891840 in words is "eight hundred twenty-eight million, eight hundred ninety-one thousand, eight hundred forty".