874355328 has 192 divisors, whose sum is σ = 3137209920. Its totient is φ = 227082240.

The previous prime is 874355323. The next prime is 874355333. The reversal of 874355328 is 823553478.

874355328 is a `hidden beast` number, since 8 + 74 + 3 + 553 + 28 = 666.

It is an interprime number because it is at equal distance from previous prime (874355323) and next prime (874355333).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (874355323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83776 + ... + 93632.

It is an arithmetic number, because the mean of its divisors is an integer number (16339635).

Almost surely, 2^874355328 is an apocalyptic number.

874355328 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 874355328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568604960).

874355328 is an abundant number, since it is smaller than the sum of its proper divisors (2262854592).

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

874355328 is a wasteful number, since it uses less digits than its factorization.

874355328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9895 (or 9880 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 874355328 is about 29569.4999619540. The cubic root of 874355328 is about 956.2306359272.

The spelling of 874355328 in words is "eight hundred seventy-four million, three hundred fifty-five thousand, three hundred twenty-eight".