1020229865928 has 720 divisors, whose sum is σ = 3569545998720. Its totient is φ = 262992248064.

The previous prime is 1020229865917. The next prime is 1020229865939. The reversal of 1020229865928 is 8295689220201.

It is a happy number.

1020229865928 is a `hidden beast` number, since 1 + 0 + 20 + 2 + 29 + 8 + 6 + 592 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1020229865917) and next prime (1020229865939).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1373121925 + ... + 1373122667.

It is an arithmetic number, because the mean of its divisors is an integer number (4957702776).

Almost surely, 2^{1020229865928} is an apocalyptic number.

1020229865928 is a gapful number since it is divisible by the number (18) 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 1020229865928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1784772999360).

1020229865928 is an abundant number, since it is smaller than the sum of its proper divisors (2549316132792).

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

1020229865928 is a wasteful number, since it uses less digits than its factorization.

1020229865928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 1020229865928 in words is "one trillion, twenty billion, two hundred twenty-nine million, eight hundred sixty-five thousand, nine hundred twenty-eight".