7428198960 has 1440 divisors, whose sum is σ = 35682716160. Its totient is φ = 1397440512.

The previous prime is 7428198931. The next prime is 7428198961. The reversal of 7428198960 is 698918247.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7428198897 and 7428198906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7428198961) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 390957831 + ... + 390957849.

It is an arithmetic number, because the mean of its divisors is an integer number (24779664).

Almost surely, 2^7428198960 is an apocalyptic number.

7428198960 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 7428198960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17841358080).

7428198960 is an abundant number, since it is smaller than the sum of its proper divisors (28254517200).

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

7428198960 is a wasteful number, since it uses less digits than its factorization.

7428198960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 7428198960 is about 86186.9999477879. Note that the first 4 decimals coincide. The cubic root of 7428198960 is about 1951.1673010955.

The spelling of 7428198960 in words is "seven billion, four hundred twenty-eight million, one hundred ninety-eight thousand, nine hundred sixty".