863528000 has 56 divisors (see below), whose sum is σ = 2138546904. Its totient is φ = 345408000.

The previous prime is 863527969. The next prime is 863528009. The reversal of 863528000 is 825368.

It can be written as a sum of positive squares in 4 ways, for example, as 1048576 + 862479424 = 1024^2 + 29368^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (863528009) 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, 45971 + ... + 61970.

Almost surely, 2^863528000 is an apocalyptic number.

863528000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

863528000 is an abundant number, since it is smaller than the sum of its proper divisors (1275018904).

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

863528000 is a wasteful number, since it uses less digits than its factorization.

863528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107968 (or 107948 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 863528000 is about 29385.8469335155. The cubic root of 863528000 is about 952.2671613254.

The spelling of 863528000 in words is "eight hundred sixty-three million, five hundred twenty-eight thousand".