10028034395400 has 384 divisors, whose sum is σ = 37642408231680. Its totient is φ = 2155878481920.

The previous prime is 10028034395387. The next prime is 10028034395507. The reversal of 10028034395400 is 459343082001.

It is a super-2 number, since 2×10028034395400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110838982 + ... + 110929418.

It is an arithmetic number, because the mean of its divisors is an integer number (98027104770).

Almost surely, 2^{10028034395400} is an apocalyptic number.

10028034395400 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 10028034395400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18821204115840).

10028034395400 is an abundant number, since it is smaller than the sum of its proper divisors (27614373836280).

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

10028034395400 is a wasteful number, since it uses less digits than its factorization.

10028034395400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92033 (or 92024 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 10028034395400 in words is "ten trillion, twenty-eight billion, thirty-four million, three hundred ninety-five thousand, four hundred".