7228509456 has 80 divisors (see below), whose sum is σ = 21368882304. Its totient is φ = 2062620672.

The previous prime is 7228509451. The next prime is 7228509461. The reversal of 7228509456 is 6549058227.

It is an interprime number because it is at equal distance from previous prime (7228509451) and next prime (7228509461).

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

It is not an unprimeable number, because it can be changed into a prime (7228509451) 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, 254296 + ... + 281288.

Almost surely, 2^7228509456 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 7228509456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10684441152).

7228509456 is an abundant number, since it is smaller than the sum of its proper divisors (14140372848).

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

7228509456 is a wasteful number, since it uses less digits than its factorization.

7228509456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27808 (or 27802 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 7228509456 is about 85020.6413525563. The cubic root of 7228509456 is about 1933.5240772037.

The spelling of 7228509456 in words is "seven billion, two hundred twenty-eight million, five hundred nine thousand, four hundred fifty-six".