5428920 has 128 divisors (see below), whose sum is σ = 19491840. Its totient is φ = 1182720.

The previous prime is 5428909. The next prime is 5428921. The reversal of 5428920 is 298245.

5428920 = T₁₇₅ + T₁₇₆ + ... + T₃₃₅.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5428921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19180 + ... + 19460.

It is an arithmetic number, because the mean of its divisors is an integer number (152280).

Almost surely, 2^5428920 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 5428920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9745920).

5428920 is an abundant number, since it is smaller than the sum of its proper divisors (14062920).

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

5428920 is a wasteful number, since it uses less digits than its factorization.

5428920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5428920 is about 2330.0042918415. The cubic root of 5428920 is about 175.7537016285.

The spelling of 5428920 in words is "five million, four hundred twenty-eight thousand, nine hundred twenty".