2928061543680 has 1152 divisors, whose sum is σ = 12817037721600. Its totient is φ = 616405303296.

The previous prime is 2928061543679. The next prime is 2928061543691. The reversal of 2928061543680 is 863451608292.

2928061543680 is a `hidden beast` number, since 2 + 92 + 8 + 0 + 6 + 1 + 543 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2034788401 + ... + 2034789839.

It is an arithmetic number, because the mean of its divisors is an integer number (11125900800).

Almost surely, 2^{2928061543680} is an apocalyptic number.

2928061543680 is a gapful number since it is divisible by the number (20) 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 2928061543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6408518860800).

2928061543680 is an abundant number, since it is smaller than the sum of its proper divisors (9888976177920).

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

2928061543680 is a wasteful number, since it uses less digits than its factorization.

2928061543680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

It can be divided in two parts, 292806 and 1543680, that added together give a triangular number (1836486 = T₁₉₁₆).

The spelling of 2928061543680 in words is "two trillion, nine hundred twenty-eight billion, sixty-one million, five hundred forty-three thousand, six hundred eighty".