7288417500 has 480 divisors, whose sum is σ = 26745438720. Its totient is φ = 1503360000.

The previous prime is 7288417469. The next prime is 7288417501. The reversal of 7288417500 is 57148827.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7288417501) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40267410 + ... + 40267590.

It is an arithmetic number, because the mean of its divisors is an integer number (55719664).

Almost surely, 2^7288417500 is an apocalyptic number.

7288417500 is a gapful number since it is divisible by the number (70) 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 7288417500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13372719360).

7288417500 is an abundant number, since it is smaller than the sum of its proper divisors (19457021220).

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

7288417500 is a wasteful number, since it uses less digits than its factorization.

7288417500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 42.

The square root of 7288417500 is about 85372.2290911980. The cubic root of 7288417500 is about 1938.8509066407.

The spelling of 7288417500 in words is "seven billion, two hundred eighty-eight million, four hundred seventeen thousand, five hundred".