428417136 has 240 divisors, whose sum is σ = 1515331584. Its totient is φ = 110094336.

The previous prime is 428417081. The next prime is 428417137. The reversal of 428417136 is 631714824.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 428417136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428417137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 393585 + ... + 394671.

Almost surely, 2^428417136 is an apocalyptic number.

428417136 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 428417136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757665792).

428417136 is an abundant number, since it is smaller than the sum of its proper divisors (1086914448).

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

428417136 is a wasteful number, since it uses less digits than its factorization.

428417136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1139 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 428417136 is about 20698.2399251724. The cubic root of 428417136 is about 753.8569525552.

It can be divided in two parts, 4284 and 17136, that multiplied together give a square (73410624 = 8568²).

The spelling of 428417136 in words is "four hundred twenty-eight million, four hundred seventeen thousand, one hundred thirty-six".