428923220000 has 270 divisors, whose sum is σ = 1162626494337. Its totient is φ = 155601600000.

The previous prime is 428923219981. The next prime is 428923220009. The reversal of 428923220000 is 22329824.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 303808211344 + 125115008656 = 551188^2 + 353716^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=463100.

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

It is not an unprimeable number, because it can be changed into a prime (428923220009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1018819790 + ... + 1018820210.

Almost surely, 2^428923220000 is an apocalyptic number.

428923220000 is a gapful number since it is divisible by the number (40) 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 428923220000

428923220000 is an abundant number, since it is smaller than the sum of its proper divisors (733703274337).

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

428923220000 is an frugal number, since it uses more digits than its factorization.

428923220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Multiplying 428923220000 by its sum of digits (32), we get a square (13725543040000 = 3704800²).

428923220000 divided by its sum of digits (32) gives a square (13403850625 = 115775²).

Adding to 428923220000 its reverse (22329824), we get a palindrome (428945549824).

The spelling of 428923220000 in words is "four hundred twenty-eight billion, nine hundred twenty-three million, two hundred twenty thousand".