5072628 has 48 divisors (see below), whose sum is σ = 13095936. Its totient is φ = 1515360.

The previous prime is 5072621. The next prime is 5072633. The reversal of 5072628 is 8262705.

5072628 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 5072595 and 5072604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5072621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10725 + ... + 11187.

It is an arithmetic number, because the mean of its divisors is an integer number (272832).

Almost surely, 2^5072628 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 5072628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547968).

5072628 is an abundant number, since it is smaller than the sum of its proper divisors (8023308).

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

5072628 is a wasteful number, since it uses less digits than its factorization.

5072628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 5072628 is about 2252.2495421245. The cubic root of 5072628 is about 171.8215654500.

The spelling of 5072628 in words is "five million, seventy-two thousand, six hundred twenty-eight".