984728752 has 80 divisors (see below), whose sum is σ = 2219857920. Its totient is φ = 414475776.

The previous prime is 984728747. The next prime is 984728753. The reversal of 984728752 is 257827489.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 984728752.

It is not an unprimeable number, because it can be changed into a prime (984728753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2222643 + ... + 2223085.

It is an arithmetic number, because the mean of its divisors is an integer number (27748224).

Almost surely, 2^984728752 is an apocalyptic number.

984728752 is the 19847-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 984728752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109928960).

984728752 is an abundant number, since it is smaller than the sum of its proper divisors (1235129168).

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

984728752 is a wasteful number, since it uses less digits than its factorization.

984728752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 764 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 52.

The square root of 984728752 is about 31380.3880154468. The cubic root of 984728752 is about 994.8834495605.

The spelling of 984728752 in words is "nine hundred eighty-four million, seven hundred twenty-eight thousand, seven hundred fifty-two".