852128424 has 240 divisors, whose sum is σ = 2840460480. Its totient is φ = 237867840.

The previous prime is 852128411. The next prime is 852128429. The reversal of 852128424 is 424821258.

It is a super-2 number, since 2×852128424² = 1452245701977447552, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (852128429) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1492059 + ... + 1492629.

It is an arithmetic number, because the mean of its divisors is an integer number (11835252).

Almost surely, 2^852128424 is an apocalyptic number.

852128424 is a gapful number since it is divisible by the number (84) 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 852128424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420230240).

852128424 is an abundant number, since it is smaller than the sum of its proper divisors (1988332056).

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

852128424 is a wasteful number, since it uses less digits than its factorization.

852128424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 630 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 852128424 is about 29191.2388226331. The cubic root of 852128424 is about 948.0582402931.

It can be divided in two parts, 85212 and 8424, that added together give a square (93636 = 306²).

The spelling of 852128424 in words is "eight hundred fifty-two million, one hundred twenty-eight thousand, four hundred twenty-four".