1072026428928 has 640 divisors, whose sum is σ = 3695763456000. Its totient is φ = 268382011392.

The previous prime is 1072026428861. The next prime is 1072026428929. The reversal of 1072026428928 is 8298246202701.

It is a super-2 number, since 2×1072026428928² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072026428929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 446862673 + ... + 446865071.

It is an arithmetic number, because the mean of its divisors is an integer number (5774630400).

Almost surely, 2^{1072026428928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1072026428928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847881728000).

1072026428928 is an abundant number, since it is smaller than the sum of its proper divisors (2623737027072).

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

1072026428928 is a wasteful number, since it uses less digits than its factorization.

1072026428928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2602 (or 2586 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 1072026428928 in words is "one trillion, seventy-two billion, twenty-six million, four hundred twenty-eight thousand, nine hundred twenty-eight".