10028024832000 has 1792 divisors, whose sum is σ = 40303123660800. Its totient is φ = 2210955264000.

The previous prime is 10028024831983. The next prime is 10028024832013. The reversal of 10028024832000 is 23842082001.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×10028024832000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32664575847 + ... + 32664576153.

It is an arithmetic number, because the mean of its divisors is an integer number (22490582400).

Almost surely, 2^{10028024832000} is an apocalyptic number.

10028024832000 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 10028024832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20151561830400).

10028024832000 is an abundant number, since it is smaller than the sum of its proper divisors (30275098828800).

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

10028024832000 is an frugal number, since it uses more digits than its factorization.

10028024832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 10028024832000 in words is "ten trillion, twenty-eight billion, twenty-four million, eight hundred thirty-two thousand".