2928306080700 has 864 divisors, whose sum is σ = 12426043348992. Its totient is φ = 561652185600.

The previous prime is 2928306080653. The next prime is 2928306080747. The reversal of 2928306080700 is 70806038292.

2928306080700 is a `hidden beast` number, since 2 + 9 + 2 + 8 + 30 + 608 + 0 + 7 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2928306080653) and next prime (2928306080747).

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 287 ways as a sum of consecutive naturals, for example, 108995469 + ... + 109022331.

Almost surely, 2^{2928306080700} is an apocalyptic number.

2928306080700 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 2928306080700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6213021674496).

2928306080700 is an abundant number, since it is smaller than the sum of its proper divisors (9497737268292).

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

2928306080700 is a wasteful number, since it uses less digits than its factorization.

2928306080700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26936 (or 26904 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2928306080700 in words is "two trillion, nine hundred twenty-eight billion, three hundred six million, eighty thousand, seven hundred".