428527787436 has 288 divisors, whose sum is σ = 1369280360448. Its totient is φ = 110103459840.

The previous prime is 428527787423. The next prime is 428527787447. The reversal of 428527787436 is 634787725824.

428527787436 is a `hidden beast` number, since 4 + 2 + 8 + 52 + 77 + 87 + 436 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121291126 + ... + 121294658.

It is an arithmetic number, because the mean of its divisors is an integer number (4754445696).

Almost surely, 2^428527787436 is an apocalyptic number.

428527787436 is a gapful number since it is divisible by the number (46) 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 428527787436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684640180224).

428527787436 is an abundant number, since it is smaller than the sum of its proper divisors (940752573012).

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

428527787436 is a wasteful number, since it uses less digits than its factorization.

428527787436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4821 (or 4816 counting only the distinct ones).

The product of its digits is 126443520, while the sum is 63.

The spelling of 428527787436 in words is "four hundred twenty-eight billion, five hundred twenty-seven million, seven hundred eighty-seven thousand, four hundred thirty-six".