984528048 has 80 divisors (see below), whose sum is σ = 2911091456. Its totient is φ = 280869120.

The previous prime is 984528037. The next prime is 984528059. The reversal of 984528048 is 840825489.

It is an interprime number because it is at equal distance from previous prime (984528037) and next prime (984528059).

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

It is a junction number, because it is equal to n+sod(n) for n = 984527988 and 984528006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270690 + ... + 274302.

Almost surely, 2^984528048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 984528048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455545728).

984528048 is an abundant number, since it is smaller than the sum of its proper divisors (1926563408).

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

984528048 is a wasteful number, since it uses less digits than its factorization.

984528048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4442 (or 4436 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 48.

The square root of 984528048 is about 31377.1899315410. The cubic root of 984528048 is about 994.8158537361.

The spelling of 984528048 in words is "nine hundred eighty-four million, five hundred twenty-eight thousand, forty-eight".