2928472735104 has 336 divisors, whose sum is σ = 10175212389420. Its totient is φ = 836705189376.

The previous prime is 2928472735103. The next prime is 2928472735109. The reversal of 2928472735104 is 4015372748292.

2928472735104 is a `hidden beast` number, since 2 + 9 + 284 + 7 + 2 + 7 + 351 + 0 + 4 = 666.

2928472735104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2928472735103) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4252047 + ... + 4892529.

Almost surely, 2^{2928472735104} is an apocalyptic number.

2928472735104 is a gapful number since it is divisible by the number (24) 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 2928472735104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5087606194710).

2928472735104 is an abundant number, since it is smaller than the sum of its proper divisors (7246739654316).

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

2928472735104 is an frugal number, since it uses more digits than its factorization.

2928472735104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640529 (or 640495 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2928472735104 in words is "two trillion, nine hundred twenty-eight billion, four hundred seventy-two million, seven hundred thirty-five thousand, one hundred four".