20828262400 has 351 divisors, whose sum is σ = 58188282439. Its totient is φ = 7389184000.

The previous prime is 20828262397. The next prime is 20828262431. The reversal of 20828262400 is 426282802.

The square root of 20828262400 is 144320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8766951424 + 12061310976 = 93632^2 + 109824^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 508006380 + ... + 508006420.

Almost surely, 2^20828262400 is an apocalyptic number.

20828262400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

20828262400 is the 144320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20828262400

20828262400 is an abundant number, since it is smaller than the sum of its proper divisors (37360020039).

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

20828262400 is an equidigital number, since it uses as much as digits as its factorization.

20828262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The spelling of 20828262400 in words is "twenty billion, eight hundred twenty-eight million, two hundred sixty-two thousand, four hundred".