7262468928 has 336 divisors, whose sum is σ = 25127321856. Its totient is φ = 1975726080.

The previous prime is 7262468923. The next prime is 7262468929. The reversal of 7262468928 is 8298642627.

7262468928 is a `hidden beast` number, since 7 + 2 + 624 + 6 + 8 + 9 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7262468923) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3046425 + ... + 3048807.

It is an arithmetic number, because the mean of its divisors is an integer number (74783696).

Almost surely, 2^7262468928 is an apocalyptic number.

7262468928 is a gapful number since it is divisible by the number (78) 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 7262468928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12563660928).

7262468928 is an abundant number, since it is smaller than the sum of its proper divisors (17864852928).

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

7262468928 is a wasteful number, since it uses less digits than its factorization.

7262468928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2449 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 7262468928 is about 85220.1204411259. The cubic root of 7262468928 is about 1936.5472407413.

The spelling of 7262468928 in words is "seven billion, two hundred sixty-two million, four hundred sixty-eight thousand, nine hundred twenty-eight".