20828234400 has 144 divisors (see below), whose sum is σ = 67853969568. Its totient is φ = 5549440000.

The previous prime is 20828234387. The next prime is 20828234411. The reversal of 20828234400 is 443282802.

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, 3479410 + ... + 3485390.

It is an arithmetic number, because the mean of its divisors is an integer number (471208122).

Almost surely, 2^20828234400 is an apocalyptic number.

20828234400 is a gapful number since it is divisible by the number (20) 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 20828234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33926984784).

20828234400 is an abundant number, since it is smaller than the sum of its proper divisors (47025735168).

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

20828234400 is a wasteful number, since it uses less digits than its factorization.

20828234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7455 (or 7442 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 20828234400 in words is "twenty billion, eight hundred twenty-eight million, two hundred thirty-four thousand, four hundred".