9428071680 has 576 divisors, whose sum is σ = 36203328000. Its totient is φ = 2316238848.

The previous prime is 9428071649. The next prime is 9428071693. The reversal of 9428071680 is 861708249.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23051316 + ... + 23051724.

It is an arithmetic number, because the mean of its divisors is an integer number (62853000).

Almost surely, 2^9428071680 is an apocalyptic number.

9428071680 is a gapful number since it is divisible by the number (90) 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 9428071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18101664000).

9428071680 is an abundant number, since it is smaller than the sum of its proper divisors (26775256320).

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

9428071680 is a wasteful number, since it uses less digits than its factorization.

9428071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 9428071680 is about 97098.2578628474. The cubic root of 9428071680 is about 2112.5530576406.

The spelling of 9428071680 in words is "nine billion, four hundred twenty-eight million, seventy-one thousand, six hundred eighty".