2028651713280 has 864 divisors, whose sum is σ = 7496681407488. Its totient is φ = 524935987200.

The previous prime is 2028651713267. The next prime is 2028651713287. The reversal of 2028651713280 is 823171568202.

2028651713280 is a `hidden beast` number, since 2 + 0 + 28 + 6 + 517 + 1 + 32 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2028651713287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3455965147 + ... + 3455965733.

It is an arithmetic number, because the mean of its divisors is an integer number (8676714592).

Almost surely, 2^{2028651713280} is an apocalyptic number.

2028651713280 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 2028651713280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3748340703744).

2028651713280 is an abundant number, since it is smaller than the sum of its proper divisors (5468029694208).

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

2028651713280 is an equidigital number, since it uses as much as digits as its factorization.

2028651713280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 2028651713280 in words is "two trillion, twenty-eight billion, six hundred fifty-one million, seven hundred thirteen thousand, two hundred eighty".