428962272552 has 512 divisors, whose sum is σ = 1412669030400. Its totient is φ = 119149056000.

The previous prime is 428962272551. The next prime is 428962272577. The reversal of 428962272552 is 255272269824.

428962272552 is a `hidden beast` number, since 4 + 2 + 8 + 9 + 62 + 27 + 2 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (428962272551) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 323256513 + ... + 323257839.

It is an arithmetic number, because the mean of its divisors is an integer number (2759119200).

Almost surely, 2^428962272552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428962272552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706334515200).

428962272552 is an abundant number, since it is smaller than the sum of its proper divisors (983706757848).

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

428962272552 is a wasteful number, since it uses less digits than its factorization.

428962272552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1564 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 428962272552 in words is "four hundred twenty-eight billion, nine hundred sixty-two million, two hundred seventy-two thousand, five hundred fifty-two".