10472028800 has 192 divisors, whose sum is σ = 27146655360. Its totient is φ = 3984076800.

The previous prime is 10472028799. The next prime is 10472028821. The reversal of 10472028800 is 882027401.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19356530 + ... + 19357070.

It is an arithmetic number, because the mean of its divisors is an integer number (141388830).

Almost surely, 2^10472028800 is an apocalyptic number.

10472028800 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 10472028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13573327680).

10472028800 is an abundant number, since it is smaller than the sum of its proper divisors (16674626560).

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

10472028800 is a wasteful number, since it uses less digits than its factorization.

10472028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The spelling of 10472028800 in words is "ten billion, four hundred seventy-two million, twenty-eight thousand, eight hundred".