821484928 has 64 divisors (see below), whose sum is σ = 1863025920. Its totient is φ = 357153280.

The previous prime is 821484919. The next prime is 821484929. The reversal of 821484928 is 829484128.

821484928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821484929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19701 + ... + 45067.

It is an arithmetic number, because the mean of its divisors is an integer number (29109780).

Almost surely, 2^821484928 is an apocalyptic number.

821484928 is a gapful number since it is divisible by the number (88) 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 821484928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931512960).

821484928 is an abundant number, since it is smaller than the sum of its proper divisors (1041540992).

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

821484928 is a wasteful number, since it uses less digits than its factorization.

821484928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25415 (or 25403 counting only the distinct ones).

The product of its digits is 294912, while the sum is 46.

The square root of 821484928 is about 28661.5583665648. The cubic root of 821484928 is about 936.5548126685.

The spelling of 821484928 in words is "eight hundred twenty-one million, four hundred eighty-four thousand, nine hundred twenty-eight".