1928897826240 has 1344 divisors, whose sum is σ = 8245727382528. Its totient is φ = 376956518400.

The previous prime is 1928897826211. The next prime is 1928897826253. The reversal of 1928897826240 is 426287988291.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 725966992 + ... + 725969648.

Almost surely, 2^{1928897826240} is an apocalyptic number.

1928897826240 is a gapful number since it is divisible by the number (10) 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 1928897826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122863691264).

1928897826240 is an abundant number, since it is smaller than the sum of its proper divisors (6316829556288).

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

1928897826240 is a wasteful number, since it uses less digits than its factorization.

1928897826240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2786 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 66.

The spelling of 1928897826240 in words is "one trillion, nine hundred twenty-eight billion, eight hundred ninety-seven million, eight hundred twenty-six thousand, two hundred forty".